Additive manufacturing of unit cell resonator networks for acoustic damping

ABSTRACT

An additively manufactured noise attenuation panel for a structure within an aircraft structure includes a plurality of unit cells, each including a central body interconnected via a plurality of tubes extending from the central body. The noise attenuation panel may include an increasing wall thickness in a desired direction. A layers of unit cells may be manufactured in a twisted orientation with respect to an immediately adjacent layer of unit cells. Layers of unit cells may be manufactured in a rounded or bent orientation with respect to a central axis. The noise attenuation panel may further comprise a disk and a blended transition located at the interface between the disk and an interior surface of a unit cell.

FIELD

The present disclosure relates generally to attenuation structures for reducing acoustic noise and/or vibration and, more particularly, to additively manufactured acoustic panels for reducing noise and/or vibration generated within aircraft structures.

BACKGROUND

Acoustic panels may be used for noise suppression or attenuation in aerospace applications and other fields. The panels typically comprise two skin surfaces that sandwich between them at least one layer of a core material or structure. The two skins and the core structure may be bonded together or cured or otherwise formed together, but mechanical fastening is also used in some applications. The core structure ties the skins together structurally and can form a very rigid, efficient and lightweight structure for noise suppression or attenuation useful in aerospace applications, such as for example, in cabins or other areas of passenger aircraft. The panels may be given acoustic properties by perforating one skin (typically an air washed side of the panel) with specifically sized volumes. This enables the cells of the core structure to act like individual Helmholtz or quarter-wave resonators that attenuate a certain tone or tones, at specific or broadband frequencies or wavelengths, of noise generated outside an aircraft—e.g., by an engine or airflow over the fuselage—or noise generated within an aircraft—e.g., by personal audio/visual equipment, galley equipment or air management equipment. These acoustic panels, where the resonators are sandwiched by a single pair of skins, are typically referred to as single-degree of freedom (SDOF) liners or panels. Acoustic panels may also be constructed as double-degree of freedom (DDOF) or multiple-degree of freedom (MDOF) liners or panels, comprising two or more layers of resonators, that provide broader frequency noise reduction.

SUMMARY

An additively manufactured noise attenuation panel for a structure within an aircraft structure is disclosed. In various embodiments, the noise attenuation panel comprises a plurality of unit cells, a plurality of disks, and a plurality of blended transitions. The plurality of unit cells includes a first periodic structure having a first unit cell and a second unit cell, each of the first unit cell and the second unit cell includes a central body interconnected via a plurality of lateral tubes extending from the central body, the first periodic structure forming a first lateral layer of unit cells, and the central body comprising an interior surface defining a volume. The plurality of disks includes a first disk disposed between a first volume of the first unit cell and a second volume of the second unit cell. The first disk may meter a flow of a fluid between the first volume and the second volume. The plurality of blended transitions includes a first blended transition located at an interface between the first disk and a first interior surface of the first unit cell.

In various embodiments, the blended transition comprises at least one of an interior chamfer or an interior fillet.

In various embodiments, the plurality of blended transitions further includes a second blended transition, the second blended transition is located at an interface between the first disk and a second interior surface of the second unit cell.

In various embodiments, a wall thickness of the first periodic structure increases along a first direction.

In various embodiments, the wall thickness of the first periodic structure monotonically increases along the first direction from a first side of the first unit cell to a second side of the second unit cell.

In various embodiments, the wall thickness of the first periodic structure remains constant along a second direction, the second direction is perpendicular to the first direction.

In various embodiments, the wall thickness of the first periodic structure linearly increases along the first direction.

In various embodiments, the first disk includes an orifice whereby the first volume is in fluidic communication with the second volume, wherein the first disk meters the flow of the fluid between the first volume and the second volume with the orifice.

In various embodiments, the first unit cell includes a first central body and a first axial tube disposed on the first central body and a second axial tube disposed on the first central body, opposite the first axial tube.

In various embodiments, the first unit cell includes a first lateral tube disposed on the first central body, and a second lateral tube, opposite the first lateral tube and disposed on the first central body.

In various embodiments, the first unit cell includes a third lateral tube, disposed on the first central body, and a fourth lateral tube, opposite the third lateral tube and disposed on the first central body.

In various embodiments, the first unit cell is rotated about a first axis with respect to the second unit cell.

In various embodiments, the first unit cell is rotated about a second axis with respect to the second unit cell, the first axis is perpendicular to the second axis.

In various embodiments, the plurality of unit cells includes a second periodic structure having a third unit cell and a fourth unit cell, wherein the first periodic structure is coupled to the second periodic structure via a plurality of axial tubes. The first periodic structure and the second periodic structure are bent around a central axis, the first periodic structure is located outward from the second periodic structure with respect to the central axis. A wall thickness of the plurality of unit cells decreases along an axis extending perpendicular to the central axis such that a first wall thickness of the first periodic structure is greater than a second wall thickness of the second periodic structure.

An additively manufactured noise attenuation panel for a structure within an aircraft structure is disclosed, comprising a first plurality of unit cells and a second plurality of unit cells. The first plurality of unit cells includes a first periodic structure having a first unit cell and a second unit cell and the second plurality of unit cells includes a second periodic structure having a third unit cell and a fourth unit cell. Each of the first unit cell, the second unit cell, the third unit cell, and the fourth unit cell includes a central body interconnected via a plurality of tubes extending from the central body, and the central body comprising an interior surface defining a volume. The first periodic structure forms a first layer of unit cells. The second periodic structure forms a second layer of unit cells. A wall thickness of the first layer is greater than a wall thickness of the second layer.

In various embodiments, the first layer of unit cells and the second layer of unit cells are both bent around a central axis.

In various embodiments, the first layer is further away from the central axis than the second layer.

In various embodiments, the wall thickness of the first layer remains constant proceeding along the central axis (e.g., along a hoop or circumferential direction).

An additively manufactured noise attenuation panel for a structure within an aircraft structure is disclosed, comprising a first plurality of unit cells and a second plurality of unit cells. The first plurality of unit cells includes a first periodic structure having a first unit cell and a second unit cell. The second plurality of unit cells includes a second periodic structure having a third unit cell and a fourth unit cell. Each of the first unit cell, the second unit cell, the third unit cell, and the fourth unit cell includes a central body interconnected via a plurality of tubes extending from the central body, and the central body comprising an interior surface defining a volume. The first periodic structure forms a first layer of unit cells. The second periodic structure forms a second layer of unit cells. The first periodic structure is manufactured in a different orientation with respect to the second periodic structure.

In various embodiments, the first periodic structure comprises a first wall thickness and the second periodic structure comprises a second wall thickness, wherein the first wall thickness is different from the second wall thickness.

In various embodiments, the first plurality of unit cells comprises a planar face.

The foregoing features and elements may be combined in any combination, without exclusivity, unless expressly indicated herein otherwise. These features and elements as well as the operation of the disclosed embodiments will become more apparent in light of the following description and accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

The subject matter of the present disclosure is particularly pointed out and distinctly claimed in the concluding portion of the specification. A more complete understanding of the present disclosure, however, may best be obtained by referring to the following detailed description and claims in connection with the following drawings. While the drawings illustrate various embodiments employing the principles described herein, the drawings do not limit the scope of the claims.

FIG. 1 is a schematic representation of a gas turbine engine used as a propulsion system on an aircraft, in accordance with various embodiments;

FIGS. 2A and 2B are schematic illustrations of noise attenuation panels for use in a gas turbine engine, in accordance with various embodiments;

FIGS. 3A and 3B are schematic illustrations of noise attenuation panels for use in a gas turbine engine, in accordance with various embodiments;

FIGS. 4A and 4B are schematic illustrations of noise attenuation panels for use in a gas turbine engine, in accordance with various embodiments;

FIGS. 5A and 5B are schematic illustrations of noise attenuation panels for use in a gas turbine engine, in accordance with various embodiments;

FIGS. 6A, 6B, 6C and 6D are schematic views of the noise attenuation panels of the present disclosure and performance graphs illustrating improvements over more conventional single-degree of freedom cell-based structures, in accordance with various embodiments;

FIGS. 7A and 7B are schematic views of a noise attenuation panel of the present disclosure and a performance graph illustrating improvements over conventional single-degree of freedom cell-based structures, in accordance with various embodiments;

FIGS. 8A, 8B and 8C are schematic views of various embodiments of the noise attenuation panels of the present disclosure illustrating relative performance, in accordance with various embodiments;

FIGS. 9A, 9B and 9C are schematic illustrations of a noise attenuation panel of the present disclosure, in accordance with various embodiments;

FIGS. 10A, 10B and 10C are schematic illustrations of a noise attenuation panel of the present disclosure, in accordance with various embodiments;

FIGS. 11A, 11B and 11C are schematic illustrations of a noise attenuation panel of the present disclosure, in accordance with various embodiments;

FIGS. 12A and 12B are schematic illustrations of a noise attenuation panel of the present disclosure, in accordance with various embodiments;

FIG. 13 is a schematic illustration of a noise attenuation panel of the present disclosure, in accordance with various embodiments;

FIG. 14 is a schematic illustration of a noise attenuation panel of the present disclosure, in accordance with various embodiments;

FIGS. 15A, 15B, 15C, 15D and 15E are schematic illustrations of various unit cell arrangements for a noise attenuation panel of the present disclosure, in accordance with various embodiments;

FIGS. 16A, 16B, 16C and 16D are schematic illustrations of various facesheets or septa or perforate structures for a noise attenuation panel of the present disclosure, in accordance with various embodiments;

FIGS. 17A, 17B, 17C and 17D are schematic illustrations of various components of a noise attenuation panel, in accordance with various embodiments;

FIGS. 18A, 18B, 18C, 18D, 18E, 18F and 18G are schematic illustrations of the solid lattice component and the fluid lattice component of the noise attenuation panel illustrated at FIGS. 17A-17D, in accordance with various embodiments;

FIGS. 19A, 19B, 19C and 19D are schematic illustrations of a combustor having a noise attenuation panel, in accordance with various embodiments;

FIGS. 20A and 20B are schematic illustrations of a combustor having a noise attenuation panel, in accordance with various embodiments;

FIG. 21 is a schematic illustration of a combustor having a noise attenuation panel, in accordance with various embodiments;

FIG. 22 and FIG. 23 are schematic illustrations of a noise/vibration attenuation panel comprising mass elements for use in a gas turbine engine, in accordance with various embodiments;

FIG. 24 and FIG. 25 are schematic illustrations of noise/vibration attenuation panels comprising mass elements of varying sizes for use in a gas turbine engine, in accordance with various embodiments;

FIG. 26A, FIG. 26B, and FIG. 26C are schematic illustrations of a noise/vibration attenuation panel comprising elastic disks for use in a gas turbine engine, in accordance with various embodiments;

FIG. 27A, FIG. 27B, and FIG. 27C are schematic illustrations of a noise/vibration attenuation panel comprising a plurality of perforated plates interposed between layers of unit cells for use in a gas turbine engine, in accordance with various embodiments;

FIG. 28A and FIG. 28B are schematic illustrations of a noise/vibration attenuation panel comprising a plurality of vibration attenuating unit cells and a plurality of intertwined noise attenuating unit cells for use in a gas turbine engine, in accordance with various embodiments;

FIG. 29 is a flow chart of an overview of a polymer additive manufacture process, in accordance with various embodiments;

FIG. 30 is a section view of an additively manufactured noise attenuation panel comprising blended transitions between disks and an interior surface, in accordance with various embodiments;

FIG. 31 is a schematic illustration of an additively manufactured noise attenuation panel comprising blended transitions between disks and an interior surface, in accordance with various embodiments;

FIG. 32 is a schematic illustration of an additively manufactured noise attenuation panel comprising a varying wall thickness, in accordance with various embodiments;

FIG. 33 is a schematic illustration of an additively manufactured noise attenuation panel comprising a twisted or rotated geometry, in accordance with various embodiments;

FIG. 34 is a schematic illustration of an additively manufactured noise attenuation panel comprising both a varying wall thickness and a twisted or rotated geometry, in accordance with various embodiments; and

FIG. 35 is a schematic illustration of an additively manufactured noise attenuation panel comprising multiple layers of unit cells bent around a central axis and comprising a wall thickness that decreases closer to the central axis, in accordance with various embodiments.

DETAILED DESCRIPTION

The following detailed description of various embodiments herein makes reference to the accompanying drawings, which show various embodiments by way of illustration. While these various embodiments are described in sufficient detail to enable those skilled in the art to practice the disclosure, it should be understood that other embodiments may be realized and that changes may be made without departing from the scope of the disclosure. Thus, the detailed description herein is presented for purposes of illustration only and not of limitation. Furthermore, any reference to singular includes plural embodiments, and any reference to more than one component or step may include a singular embodiment or step. Also, any reference to attached, fixed, connected, or the like may include permanent, removable, temporary, partial, full or any other possible attachment option. Additionally, any reference to without contact (or similar phrases) may also include reduced contact or minimal contact. It should also be understood that unless specifically stated otherwise, references to “a,” “an” or “the” may include one or more than one and that reference to an item in the singular may also include the item in the plural. Further, all ranges may include upper and lower values and all ranges and ratio limits disclosed herein may be combined.

Referring now to FIG. 1 , a side cutaway illustration of a gas turbine engine 100 is provided. The gas turbine engine 100 extends along an axial centerline A between an airflow inlet 102 and a core exhaust system 104. The gas turbine engine 100 includes a fan section 106, a low-pressure compressor section 108 (LPC), a high-pressure compressor section 110 (HPC), a combustor section 112, a high-pressure turbine section 114 (HPT) and a low-pressure turbine section (LPT) 116. The various engine sections are typically arranged sequentially along the axial centerline A. In various embodiments, the low-pressure compressor section 108 (LPC), the high-pressure compressor section 110 (HPC), the combustor section 112, the high-pressure turbine section 114 (HPT) and the low-pressure turbine section 116 (LPT) form a core 118 (or an engine core) of the gas turbine engine 100.

Air enters the gas turbine engine 100 through the airflow inlet 102, and is directed through the fan section 106 and into a core gas flow path C and a bypass gas flow path B. The air within the core gas flow path C may be referred to as “core air.” The air within the bypass gas flow path B may be referred to as “bypass air.” The core air is directed through the low-pressure compressor section 108, the high-pressure compressor section 110, the combustor section 112, the high-pressure turbine section 114 and the low-pressure turbine section 116 and exits the gas turbine engine 100 through the core exhaust system 104, which includes an exhaust center body 120 surrounded by an exhaust nozzle 122. Within the combustor section 112, fuel is injected into and mixed with the core air and ignited to provide a hot airstream that drives the turbine sections. The bypass air is directed through the bypass gas flow path B, and out of the gas turbine engine 100 through a bypass exhaust nozzle 124 to provide forward engine thrust. The bypass air may also or alternatively be directed through a thrust reverser, positioned, for example, at or proximate the bypass exhaust nozzle 124, to provide reverse engine thrust. A fan nacelle 126 is typically employed to surround the various sections of the gas turbine engine 100 and a core nacelle 128 is typically employed to surround the various sections of the core 118. The gas turbine engine 100 is typically secured to an airframe (e.g., a fuselage or a wing) via a pylon 130.

Referring now to FIGS. 2A and 2B, schematic views of a noise attenuation panel (or an acoustic attenuation structure) are provided; the noise attenuation panels described and illustrated in these figures are oversimplified to explain various features of the panels. Referring specifically to FIG. 2A, a noise attenuation panel 200 is illustrated having a unit cell 202 sandwiched between a facesheet 204 and a back plate 206. The facesheet 204 typically includes a plurality of perforations or openings 208 to communicate acoustic waves or energy to the unit cell 202, which acts as a resonator to damp or attenuate the acoustic waves or energy. The back plate 206 typically is non-perforated and, together with the facesheet 204, provides a support structure for the unit cell 202; note that while the back plates described and illustrated in this disclosure are described as typically being non-perforated, there is no requirement that perforations may not be incorporated into or through the back plates. In various embodiments, and as will be described in further detail below, the unit cell 202 includes a pair of axial tubes, including, for example, a first axial tube 210 connected to the facesheet 204 and a second axial tube 212, opposite the first axial tube 210 (e.g., the first axial tube 210 being axially aligned with the second axial tube 212), connected to the back plate 206. In various embodiments, the unit cell 202 further includes a first pair of lateral tubes, such as, for example, a first lateral tube 214 and a second lateral tube 216, opposite the first lateral tube 214 (e.g., the first lateral tube 214 being axially aligned with the second lateral tube 216). In various embodiments, the unit cell 202 further includes a second pair of lateral tubes, such as, for example, a third lateral tube 218 and a fourth lateral tube 220, opposite the third lateral tube 218 (e.g., the third lateral tube 218 being axially aligned with the fourth lateral tube 220). As also described further below, while the various tubes (or tubular structures) are illustrated in FIG. 2A as having an opening into a central body 222 of the unit cell 202, the various tubes may be connected to the tubes of adjacent unit cells (see, e.g., FIG. 2B) or may be completely or partially closed (or sealed) via a wall or a mesh, which may include a perforated or a similar structure, the wall or the mesh being configured to block or partially restrict, respectively, a flow of fluid therethrough.

Further, it is noted that while the unit cell 202 may comprise a structure that exhibits various degrees of symmetry (e.g., a cubic symmetry typical of a Schwarz P surface), the various tubes or central bodies among a plurality of interconnected unit cells may be sized or shaped identically or exhibit different sizes or shapes among such plurality of interconnected unit cells. For example, the first axial tube 210 may exhibit a first axial tube size (e.g., a first diameter or first length), the second axial tube 212 may exhibit a second axial tube size (e.g., a second diameter or second length), the first lateral tube 214 may exhibit a first lateral tube size (e.g., diameter or length), the second lateral tube 216 may exhibit a second lateral tube size (e.g., diameter or length), the third lateral tube 218 may exhibit a third lateral tube size (e.g., diameter or length) and the fourth lateral tube 220 may exhibit a fourth lateral tube size (e.g., diameter or length) and at least one of the first axial tube size, the second axial tube size, the first lateral tube size, the second lateral tube size, the third lateral tube size or the fourth lateral tube size exhibits a first size and at least one of the first axial tube size, the second axial tube size, the first lateral tube size, the second lateral tube size, the third lateral tube size or the fourth lateral tube size exhibits a second size that is different from the first size. Note also that in various embodiments, each of the first axial tube 210, the second axial tube 212, the first lateral tube 214, the second lateral tube 216, the third lateral tube 218 and the fourth lateral tube 220 are in fluid communication with each other via the central body 222.

Referring now to FIG. 2B, with continued reference to FIG. 2A, a noise attenuation panel 230 is illustrated having a plurality of unit cells 232, each having the shape of the unit cell 202, interconnected and sandwiched between a facesheet 234 and a back plate 236. In various embodiments, the plurality of unit cells 232 is formed by interconnecting adjacent lateral tubes of adjacent unit cells together. For example, as illustrated in FIG. 2B, a first unit cell 231 having a first lateral tube 233 may be interconnected to a second unit cell 235 having a second lateral tube 237 by interconnecting the first lateral tube 233 to the second lateral tube 237. In similar fashion, a third unit cell 241 and a fourth unit cell 243 may be interconnected to each other and to, respectively, the first unit cell 231 and to the second unit cell 235. In such fashion, a periodic structure having a plurality of resonators configured to damp or attenuate acoustic waves or energy results. As described in further detail below, note the periodic structure of the plurality of unit cells 232, interconnected as described, results in a volume 245 at the center of the periodic structure and extending axially between the facesheet 234 and the back plate 236. In various embodiments, the volume 245 may be sized to damp or attenuate acoustic waves or energy at different frequencies as do the plurality of unit cells 232.

Referring now to FIGS. 3A and 3B, schematic views of a noise attenuation panel 300, similar to the noise attenuation panels described above, are provided. The noise attenuation panel 300 is illustrated as having a plurality of unit cells 302 sandwiched between a facesheet 304 and a back plate 306. The facesheet 304 typically includes a plurality of perforations or openings 308 to communicate acoustic waves or energy to the plurality of unit cells 302, which acts as a resonator to damp or attenuate the acoustic waves or energy. The back plate 306 typically is non-perforated and, together with the facesheet 304, provides a support structure for the plurality of unit cells 302. Each member of the plurality of unit cells 302 has properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics, including the manner of interconnecting the unit cells within the plurality of unit cells 302 is not repeated here.

One difference between the embodiments described with reference to FIGS. 2A and 2B and those described with reference to FIGS. 3A and 3B is the layered structure exhibited by the noise attenuation panel 300. For example, while the noise attenuation panel 230 described above with reference to FIG. 2B comprises a single layer of unit cells (or a first periodic structure), the noise attenuation panel 300 comprises a plurality of layers of unit cells, including, for example, a first lateral layer of unit cells 351 (or a first periodic structure), a second lateral layer of unit cells 352 (or a second periodic structure), a third lateral layer of unit cells 353 (or a third periodic structure) and a fourth lateral layer of unit cells 354 (or a fourth periodic structure). In various embodiments, each lateral layer of unit cells exhibits an NxM structure of unit cells, where N is the number of unit cells in a first direction (e.g., a first unit cell, a second unit cell . . . an Nth unit cell in the x-direction) and M is the number of unit cells in a second direction (e.g., a first unit cell, a second unit cell . . . an Mth unit cell in the y-direction). A similar arrangement applies to the layers of unit cells in the axial or the z-direction, which may be P in number, and include a first axial layer of unit cells 361 (or a first periodic structure), a second axial layer of unit cells 362 (or a second periodic structure), a third axial layer of unit cells 363 (or a third periodic structure) and a fourth axial layer of unit cells 364 (or a fourth periodic structure). Note that while each of M, N and P equals four (4) in FIGS. 3A and 3B, there is no requirement that M, N and P equal one another in any particular noise attenuation panel or embodiment thereof.

With primary reference now to FIG. 3B, and with continued reference to FIG. 3A, the second lateral layer of unit cells 352 is illustrated from an overhead (or axial or z-direction) perspective. Given the generally periodic structure of the noise attenuation panel 300, the second lateral layer of unit cells 352 may be considered representative of any of the lateral or axial layers of unit cells identified above. The layer of unit cells comprises an NxM plurality of unit cells 370 interconnected together (via a plurality of lateral tubes as described above) and an (N-1)×(M-1) plurality of volumes 372 disposed between the unit cells. The layer also comprises an NxM plurality of axial tubes 374 that extend into an NxM plurality of central bodies 376 of the unit cells (e.g., a first central body, a second central body . . . an NxMth central body). As discussed further below, one or more of the individual members of the (N-1)×(M-1) plurality of volumes 372, the NxM plurality of axial tubes 374 and the plurality of lateral tubes may be either completely or partially sealed or restricted to tune the noise attenuation panel 300 to attenuate various frequencies of the acoustic energy spectrum that the noise attenuation panel 300 is being subjected during operation.

Referring now to FIGS. 4A and 4B, sectional schematic views of a portion of a noise attenuation panel 400, similar to any of the noise attenuation panels described above, are provided. Referring to FIG. 4A, for example, a schematic view of a volume 445, similar to the volume 245 illustrated in FIG. 2B or one of the (N-1)×(M-1) plurality of volumes 372 illustrated in FIG. 3B, is provided. As described above, the volume 445 is defined by a plurality of unit cells 402 that are interconnected via the interconnecting of lateral or axial tubes associated with the plurality of unit cells 402. As illustrated, the volume 445 is partially restricted via a volume filler 447, disposed throughout the space exterior to the unit cells, that is configured to act as a bulk absorber to reduce or restrict the flow of air through the volume 445. Note that in various embodiments, the volume filler 447 may comprise a plurality of layers of mesh-like materials, perforated structures or even acoustic foams so the resulting structure exhibits properties of a bulk material or a foam that either partially restricts or completely restricts the flow of air (or acoustic waves) within the space that is exterior to the plurality of unit cells 402. The partial or complete restriction provided by the volume filler 447 facilitates additional tuning of the noise attenuation panel 400 to attenuate over a broader frequency range of the acoustic energy spectrum. Similarly, referring to FIG. 4B, a schematic view of an isolated one of the plurality of unit cells 402, similar to one of the plurality of unit cells 232 illustrated in FIG. 2B or one of the plurality of unit cells 302 illustrated in FIG. 3A, is provided. As described above, the isolated one of the plurality of unit cells 402 includes a tube 403, either lateral or axial, depending on the orientation of the unit cell. As illustrated, the tube 403 is partially restricted via a tube mesh 449, which may include properties similar to those identified for the volume filler 447, that is configured to reduce or restrict the flow of air through the tube 403. The partial restriction provided by the tube mesh 449 facilitates tuning the noise attenuation panel 400 to attenuate specific frequencies of the acoustic energy spectrum the noise attenuation panel 400 is being subjected to during operation.

Referring now to FIGS. 5A and 5B, a model 501 that facilitates mathematical design of a noise attenuation panel 500 is described. As illustrated, the model 501 approximates the behavior or response of the noise attenuation panel 500 via a dynamical system that includes (i) a mass (e.g., M₁ and M₂) that represents the mass of air associated with an acoustic wave 503 that oscillates within a tube of a unit cell; (ii) a stiffness (e.g., K₁ and K₂) that represents the density of the air within the central body of the unit cell; and (iii) a dashpot (e.g., R₁ and R₂) that represents the energy dissipation associated with the air moving in the tubes. The dynamical system facilitates development of a set of differential equations that may be solved to approximate the behavior or response of the noise attenuation panel 500. The dynamical system may also account for complete or partial restriction of the various axial or lateral tubes associated with the unit cell. While the model 501 illustrated in FIG. 5B is representative of a simple two unit-cell system as illustrated in FIG. 5A, such models may be extended to arbitrarily large numbers of unit cells.

Referring now to FIGS. 6A, 6B, 6C and 6D, computational results are provided that illustrate various benefits of the noise attenuation panels presented and described in this disclosure. Referring to FIGS. 6A and 6B, a graph 681 showing absorption coefficient as a function of frequency is illustrated for a conventional single degree of freedom noise attenuation panel 680 (SDOF) having a facesheet 602 and a back plate 604 defining a height (h) of the panel, filled with a honeycomb structure 605. By way of comparison, FIGS. 6C and 6D illustrate a graph 683 showing absorption coefficient as a function of frequency for a noise attenuation panel 682 (NAP) having the same facesheet and a back plate as employed in the conventional single-degree of freedom noise attenuation panel 680. In this regard, the core material of noise attenuation panel 682 differs from the core material of noise attenuation panel 680, in accordance with various embodiments. The facesheet and back plate of noise attenuation panel 682 may be similar to that of noise attenuation panel 680, though in various embodiments the facesheet and/or back plate of noise attenuation panel 682 is structurally different from that of noise attenuation panel 680. As indicated in the graph 683, the noise attenuation panel 682 provides a greater magnitude of noise attenuation at the design frequency and an extended attenuation bandwidth with more broadband absorption at higher frequencies, than the conventional single-degree of freedom noise attenuation panel 680 having a height (h) less than 50% of the height (h) of the conventional panel, thus providing a substantial space and potential weight savings and an increase in attenuation of noise over the conventional panel.

Referring now to FIGS. 7A and 7B, schematic views of a noise attenuation panel of the present disclosure and a performance graph illustrating improvements over more conventional single-degree of freedom cell-based structures are provided, in accordance with various embodiments. Referring to FIG. 7A, a noise attenuation panel 782, similar to the noise attenuation panel 682 described above, is depicted. Rather than having a height (h) equal to 0.45 h of the height (h) of the conventional single-degree of freedom noise attenuation panel 680, also described above, the noise attenuation panel 782 has a height (h) equal to the height (h) of the conventional single-degree of freedom noise attenuation panel 680. This enables a more direct comparison between the noise attenuation panel 782 and the conventional single-degree of freedom noise attenuation panel 680 when constructed to have the same dimension (e.g., the same height (h)). As illustrated in FIG. 7B, for example, a graph 783 showing absorption coefficient as a function of frequency for the noise attenuation panel 782 (NAP) and the conventional single-degree of freedom noise attenuation panel 680 (SDOF) is provided. As indicated in the graph 783, the noise attenuation panel 782 provides a greater magnitude of noise attenuation at the design frequency and at both higher and lower frequencies surrounding the design frequency than the conventional single-degree of freedom noise attenuation panel 680, thus providing an extended attenuation bandwidth with more broadband absorption at both higher and lower frequencies than the design frequency where the two noise attenuation panels share the same dimensional characteristics.

Referring now to FIGS. 8A, 8B and 8C, schematic views of various embodiments of the noise attenuation panels of the present disclosure, and a graph illustrating relative performance, are provided. Referring to FIGS. 8A and 8B, a first noise attenuation panel 881 and a second noise attenuation panel 882 are illustrated. Similar to the various embodiments described above, both the first noise attenuation panel 881 and the second noise attenuation panel 882 include a plurality of unit cells 802 and a plurality of volumes 872 defined by the spaces in between the individual unit cells comprising the plurality of unit cells 802. The only difference between the first noise attenuation panel 881 and the second noise attenuation panel 882 is each of the plurality of volumes 872 in the second noise attenuation panel 882 is partially restricted or completely restricted via a volume filler 847, similar to the volume filler 447 described above. Note that where complete restriction is provided, the volume filler 847 may be completely solid—e.g., the space exterior to the plurality of unit cells 802 is completely filled with material. Referring now to FIG. 8C, a graph 883 showing absorption coefficient as a function of frequency for the first noise attenuation panel 881 and the second noise attenuation panel 882 is provided. As depicted in the graph 883, the second noise attenuation panel 882 exhibits an extended attenuation bandwidth with greater broadband absorption throughout the range of frequencies, which illustrates the enhanced noise absorption characteristics provided by the volume filler 847 used to partially restrict the flow of air through each of the plurality of volumes 872.

Referring now to FIGS. 9A, 9B and 9C, schematic illustrations of a noise attenuation panel 900 are provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 900 includes a plurality of unit cells 902 sandwiched between a facesheet 904 and a back plate 906. The facesheet 904 typically includes a plurality of perforations or openings 908 to communicate acoustic waves or energy to the plurality of unit cells 902. Each member of the plurality of unit cells 902 has properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics, including the manner of interconnecting the unit cells within the plurality of unit cells 902 is not repeated here. In various embodiments, the noise attenuation panel 900 includes a gap 909 adjacent the back plate 906 at each of the unit cells positioned adjacent the back plate 906, where the gap 909 provides an opening or spacing away from the back plate 906, thereby allowing fluid communication between the interior of the unit cells positioned adjacent the back plate 906 and the exterior of the unit cells comprising the plurality of unit cells 902.

Referring more particularly now to FIGS. 9B and 9C, and with continued reference to FIG. 9A, a panel section 920 of the noise attenuation panel 900 is illustrated as comprising a single row of unit cells sandwiched between the facesheet 904 and the back plate 906. As illustrated, during operation, acoustic waves or energy impinge upon the facesheet 904 and enter the first unit cell of the panel section 920 via a perforation 903 (or via a plurality of such perforations). The acoustic waves or energy then traverse the plurality of unit cells 902 where acoustic attenuation occurs as described above. In various embodiments, the acoustic waves or energy then exit the interiors of the plurality of unit cells at the gap 909 adjacent the back plate 906. Once exited, the acoustic waves or energy then traverse back to the facesheet 904 via a plurality of volumes 972 defined by the spaces in between the individual unit cells comprising the plurality of unit cells 902. The acoustic waves or energy then may exit the facesheet 904 via the plurality of perforations or openings 908. Note that in various embodiments, one or more or even all of the plurality of perforations or openings 908 may be closed to alter the frequency range of attenuation. In the case where all of the plurality of perforations or openings 908 is completely closed or sealed, it is possible to shift the peak absorption frequency to a lower frequency range than would otherwise occur. In such case, the volume of space exterior to the plurality of unit cells 902—i.e., the plurality of volumes 972—acts as a closed volume or resonator.

Referring now to FIGS. 10A, 10B and 10C, schematic illustrations of a noise attenuation panel 1000 are provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 1000 includes a plurality of unit cells 1002 sandwiched between a facesheet 1004 and a back plate 1006. The facesheet 1004 typically includes a plurality of perforations or openings configured to communicate acoustic waves or energy to the plurality of unit cells 1002. Each member of the plurality of unit cells 1002 has properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics, including the manner of interconnecting the unit cells within the plurality of unit cells 1002 is not repeated here. In various embodiments, various members of the plurality of unit cells 1002 exhibit different sizes and, particular to the illustrated embodiment, different sized tubes used to interconnect the unit cells comprising the plurality of unit cells 1002 (e.g., the axial tubes and the lateral tubes described above with reference to the various figures). For example, as illustrated with reference to a panel section 1020, a plurality of lateral tubes includes a first lateral tube 10741, a second lateral tube 10742, a third lateral tube 10743 and a fourth lateral tube 10744, with each of the lateral tubes disposed between and surrounded by various members of a plurality of volumes 1072. Each of the first lateral tube 10741, the second lateral tube 10742, the third lateral tube 10743 and the fourth lateral tube 10744 exhibit a tube size (e.g., a diameter) that decreases from a first tube size associated with the first lateral tube 10741 to a fourth tube size associated with the fourth lateral tube 10744. While the various lateral tubes are illustrated as having tube sizes that decrease in diameter proceeding from the facesheet 1004 to the back plate 1006, the disclosure contemplates alternative embodiments, such as, for example, tube sizes that increase in diameter proceeding from the facesheet 1004 to the back plate 1006 or tube sizes that both decrease and increase in diameter proceeding from the facesheet 1004 to the back plate 1006.

Referring now to FIGS. 11A, 11B and 11C, schematic illustrations of a noise attenuation panel 1100 are provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 1100 includes a plurality of unit cells 1102 sandwiched between a facesheet 1104 and a back plate 1106. The facesheet 1104 typically includes a plurality of perforations or openings configured to communicate acoustic waves or energy to the plurality of unit cells 1102. Each member of the plurality of unit cells 1102 has properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics, including the manner of interconnecting the unit cells within the plurality of unit cells 1102 is not repeated here. In various embodiments, various of the plurality of unit cells 1102 exhibit different sizes and, particular to the illustrated embodiment, different sized tubes used to interconnect the unit cells comprising the plurality of unit cells 1102 (e.g., the axial tubes and the lateral tubes described above with reference to the various figures). For example, as illustrated with reference to a panel section 1120, a plurality of axial tubes includes a first axial tube 11801, a second axial tube 11802, a third axial tube 10803, and a fourth axial tube 11804, with each of the axial tubes disposed between and surrounded by various members of a plurality of volumes 1172. Each of the first axial tube 11801, the second axial tube 11802, the third axial tube 10803 and the fourth axial tube 11804 exhibit a tube size (e.g., a diameter) that decreases from a first tube size associated with the first axial tube 11801 to a fourth tube size associated with the fourth axial tube 11804. The panel section terminates at a fifth axial tube 11805, which may be positioned adjacent the back plate 1106. While the various tubes are illustrated as having tube sizes that decrease in diameter from the facesheet 1104 to the back plate 1106, the disclosure contemplates alternative embodiments, such as, for example, tube sizes that increase in diameter from the facesheet 1104 to the back plate 1106 or tube sizes that both decrease and increase in diameter from the facesheet 1104 to the back plate 1106. Further, while the illustrations show an outer diameter or exterior of each axial tube being sized the same, with the internal diameter having different sizes (e.g., progressively decreasing internal diameters from the first tube size to the fourth tube size), the disclosure contemplates size variations of the exteriors of the axial tubes to vary in the same or a similar manner as the above-described lateral tubes.

Referring now to FIGS. 12A and 12B, schematic illustrations of a noise attenuation panel 1200 are provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 1200 includes a plurality of unit cells 1202 sandwiched between a facesheet 1204 and a back plate 1206. The facesheet 1204 typically includes a plurality of perforations or openings configured to communicate acoustic waves or energy to the plurality of unit cells 1202. Each member of the plurality of unit cells 1202 has properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics, including the manner of interconnecting the unit cells within the plurality of unit cells 1202 is not repeated here. In various embodiments, the plurality of perforations or openings in the facesheet 1204 exhibit different sizes. For example, as illustrated with reference to FIGS. 12A and 12B, the facesheet 1204 includes a first perforation 12081, a second perforation 12082, a third perforation 12083, a fourth perforation 12084 and a fifth perforation 12085. Each of the first perforation 12081, the second perforation 12082, the third perforation 12083, the fourth perforation 12084 and the fifth perforation 12085 exhibit a perforation size (e.g., a diameter) that decreases from a first perforation size associated with the first perforation 12081 to a fifth perforation size associated with the fifth perforation 12085. While the various perforations are illustrated as having perforation sizes that decrease in diameter proceeding from a left side (or an upstream side) of the facesheet 1204 to a right side (or a downstream side) of the facesheet 1204, the disclosure contemplates alternative embodiments, such as, for example, perforation sizes that increase in diameter proceeding from the left side of the facesheet 1204 to the right side of the facesheet 1204, or perforation sizes that both decrease and increase in diameter proceeding from the left side of the facesheet 1204 to the right side of the facesheet 1204.

Referring now to FIG. 13 , a schematic illustration of a noise attenuation panel 1300 is provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 1300 includes a plurality of unit cells 1302 sandwiched between a facesheet 1304 and a back plate 1306. The facesheet 1304 typically includes a plurality of perforations or openings configured to communicate acoustic waves or energy to the plurality of unit cells 1302. Each member of the plurality of unit cells 1302 has properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics, including the manner of interconnecting the unit cells within the plurality of unit cells 1302 is not repeated here. In various embodiments, various of the plurality of unit cells 1302 exhibit different sizes and, particular to the illustrated embodiment, different sized tubes used to interconnect the unit cells comprising the plurality of unit cells 1302 (e.g., the axial tubes and the lateral tubes described above with reference to the various figures) and different sized volumes that surround the exterior surfaces of the unit cells comprising the plurality of unit cells 1302.

For example, a plurality of lateral tubes includes a first lateral tube 13741, a second lateral tube 13742, a third lateral tube 13743 and a fourth lateral tube 13744. Each of the first lateral tube 13741, the second lateral tube 13742, the third lateral tube 13743 and the fourth lateral tube 13744 exhibit a tube size (e.g., a diameter) that decreases from a first tube size associated with the first lateral tube 13741 to a fourth tube size associated with the fourth lateral tube 13744. While the various lateral tubes are illustrated as having tube sizes that decrease in diameter proceeding from a left side (or an upstream side) of the noise attenuation panel 1300 to a right side (or a downstream side) of the noise attenuation panel 1300, the disclosure contemplates alternative embodiments, such as, for example, tube sizes that increase in diameter proceeding from the left side of the noise attenuation panel 1300 to the right side of the noise attenuation panel 1300, or tube sizes that both decrease and increase in diameter proceeding from the left side of the noise attenuation panel 1300 to the right side of the noise attenuation panel 1300.

Still referring to FIG. 13 , the volumes that surround the exterior surfaces of the unit cells exhibit different sizes. For example, a plurality of volumes includes a first volume 1372 ₁, a second volume 13722, a third volume 13723, a fourth volume 13724 and a fifth volume 13725. Each of the first volume 1372 ₁, the second volume 13722, the third volume 13723, the fourth volume 13724 and the fifth volume 13725 exhibit a volume size (e.g., a characteristic dimension) that increases from a first volume size associated with the first volume 1372 ₁, to a second volume size associated with the second volume 13722 . . . to a fifth volume size associated with the fifth volume 13725. While the various volumes are illustrated as having volume sizes that increase in characteristic dimension proceeding from a left side (or an upstream side) of the noise attenuation panel 1300 to a right side (or a downstream side) of the noise attenuation panel 1300, the disclosure contemplates alternative embodiments, such as, for example, volume sizes that decrease in characteristic dimension proceeding from the left side of the noise attenuation panel 1300 to the right side of the noise attenuation panel 1300, or volume sizes that both decrease and increase in characteristic dimension proceeding from the left side of the noise attenuation panel 1300 to the right side of the noise attenuation panel 1300. Note that where the volumes comprising the plurality of volumes are of varying or different sizes, in general, the unit cells comprising the plurality of unit cells that define the various volumes will also be of different sizes (e.g., where one or more of a first unit cell size, a second unit cell size, a third unit cell size or a fourth unit cell size exhibits a different characteristic dimension or dimensions from that of its neighboring unit cells).

Referring now to FIG. 14 , a schematic illustration of a noise attenuation panel 1400 is provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 1400 includes a plurality of unit cells 1402 sandwiched between a facesheet 1404 and a back plate 1406. The facesheet 1404 typically includes a plurality of perforations or openings configured to communicate acoustic waves or energy to the plurality of unit cells 1402. Each member of the plurality of unit cells 1402 has properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics, including the manner of interconnecting the unit cells within the plurality of unit cells 1402 is not repeated here. In various embodiments, various of the plurality of unit cells 1402 exhibit different sizes and, particular to the illustrated embodiment, different sized tubes used to interconnect the unit cells comprising the plurality of unit cells 1402 (e.g., the axial tubes and the lateral tubes described above with reference to the various figures) and different sized volumes that surround the exterior surfaces of the unit cells comprising the plurality of unit cells 1302.

For example, a plurality of lateral tubes includes a first lateral tube 1474 ₁, a second lateral tube 1474 ₂, a third lateral tube 1474 ₃ and a fourth lateral tube 1474 ₄. Each of the first lateral tube 1474 ₁, the second lateral tube 1474 ₂, the third lateral tube 1474 ₃ and the fourth lateral tube 1474 ₄ exhibit a tube size (e.g., a diameter) that decreases from a first tube size associated with the first lateral tube 1474 ₁ to a fourth tube size associated with the fourth lateral tube 1474 ₄. While the various lateral tubes are illustrated as having tube sizes that decrease in diameter proceeding from the facesheet 1404 to the back plate 1406, the disclosure contemplates alternative embodiments, such as, for example, tube sizes that increase in diameter proceeding from the facesheet 1404 to the back plate 1406 or tube sizes that both decrease and increase in diameter proceeding from the facesheet 1404 to the back plate 1406.

Still referring to FIG. 14 , the volumes that surround the exterior surfaces of the unit cells exhibit different sizes. For example, a plurality of volumes includes a first volume 1472 ₁, a second volume 1472 ₂, a third volume 1472 ₃, a fourth volume 1472 ₄ and a fifth volume 1472 ₅. Each of the first volume 1472 ₁, the second volume 1472 ₂, the third volume 1472 ₃, the fourth volume 1472 ₄ and the fifth volume 1472 ₅ exhibit a volume size (e.g., a characteristic dimension) that increases from a first volume size associated with the first volume 1472 ₁ to a fifth volume size associated with the fifth volume 1472 ₅. While the various volumes are illustrated as having volume sizes that increase in characteristic dimension proceeding from the facesheet 1404 to the back plate 1406, the disclosure contemplates alternative embodiments, such as, for example, volume sizes that decrease in characteristic dimension proceeding from the facesheet 1404 to the back plate 1406 or volume sizes that both decrease and increase in characteristic dimension proceeding from the facesheet 1404 to the back plate 1406.

Referring now to FIGS. 15A, 15B, 15C, 15D and 15E, schematic views of various noise attenuation panels (or acoustic attenuation structures) are provided; the noise attenuation panels described and illustrated in these figures are oversimplified to explain various features of the panels, but the disclosure contemplates that any or all of the various acoustic attenuation structures illustrated in FIGS. 15A-15E may be incorporated into the noise attenuation panels described above and below. Referring, for example, to FIG. 15A, a noise attenuation panel 1500 is illustrated having a first unit cell 1501 and a second unit cell 1503 sandwiched between a facesheet 1504 and a back plate 1506. The facesheet 1504 typically includes a plurality of perforations or openings to communicate acoustic waves or energy to the first unit cell 1501 and then to the second unit cell 1503, which together act as a resonator to damp or attenuate the acoustic waves or energy. The back plate 1506 typically is non-perforated and, together with the facesheet 1504, provides a support structure for the noise attenuation panel 1500. In various embodiments, a septum 1505 separates the first unit cell 1501 and the second unit cell 1503, with the septum 1505 including a plurality of perforations or openings to communicate acoustic waves or energy between the first unit cell 1501 and the second unit cell 1503. In various embodiments, a connector 1507 (e.g., a tubular member) is used to connect the first unit cell 1501 and the second unit cell 1503, with the septum 1505 being disposed between the connector 1507 and the second unit cell 1503. Note, as illustrated, the first unit cell 1501 and the second unit cell 1503 may exhibit different shapes or sizes to further assist in tuning the noise attenuation panel 1500.

Referring now to FIG. 15B, a noise attenuation panel 1510 is illustrated having a first unit cell 1511 and a second unit cell 1513 sandwiched between a facesheet 1514 and a back plate 1516. The facesheet 1514 typically includes a plurality of perforations or openings to communicate acoustic waves or energy to the first unit cell 1511 and then to the second unit cell 1513, which together act as a resonator to damp or attenuate the acoustic waves or energy. The back plate 1516 typically is non-perforated and, together with the facesheet 1514, provides a support structure for the noise attenuation panel 1510. In various embodiments, a septum 1515 separates the first unit cell 1511 and the second unit cell 1513, with the septum 1515 including a plurality of perforations or openings to communicate acoustic waves or energy between the first unit cell 1511 and the second unit cell 1513. In various embodiments, a connector 1517 (e.g., a tubular member) is used to connect the first unit cell 1511 and the second unit cell 1513, with the septum 1515 being disposed between the connector 1517 and the first unit cell 1511.

Referring now to FIG. 15C, a noise attenuation panel 1520 is illustrated having a unit cell 1522, a facesheet 1524, a back plate 1526 and a septum 1525. The facesheet 1524 typically includes a plurality of perforations or openings to communicate acoustic waves or energy to an open chamber 1529 and then to the unit cell 1522, which together act as a resonator to damp or attenuate the acoustic waves or energy. The back plate 1526 typically is non-perforated and, together with the facesheet 1524, provides a support structure for the noise attenuation panel 1520. In various embodiments, the septum 1525 separates the unit cell 1522 and the open chamber 1529, with the septum 1525 including a plurality of perforations or openings to communicate acoustic waves or energy between the unit cell 1522 and the open chamber 1529. In various embodiments, a connector 1527 (e.g., a tubular member) is used to connect the unit cell 1522 and the open chamber 1529, with the septum 1525 being disposed between the connector 1527 and the open chamber 1529.

Referring now to FIG. 15D, a noise attenuation panel 1530 is illustrated having a unit cell 1532, a facesheet 1534, a back plate 1536 and a septum 1535. The facesheet 1534 typically includes a plurality of perforations or openings to communicate acoustic waves or energy to an open chamber 1539 and then to the unit cell 1532, which together act as a resonator to damp or attenuate the acoustic waves or energy. The back plate 1536 typically is non-perforated and, together with the facesheet 1534, provides a support structure for the noise attenuation panel 1530. In various embodiments, the septum 1535 separates the unit cell 1532 and the open chamber 1539, with the septum 1535 including a plurality of perforations or openings to communicate acoustic waves or energy between the unit cell 1532 and the open chamber 1539. In various embodiments, a connector 1537 (e.g., a tubular member) is used to connect the unit cell 1532 and the open chamber 1539, with the septum 1535 being disposed between the connector 1537 and the open chamber 1539. Note, in contrast with the noise attenuation panel 1520, the unit cell 1532 may not, in various embodiments, have a tube (e.g., a lateral tube 1538) in contact with the back plate 1536.

Referring now to FIG. 15E, a noise attenuation panel 1540 is illustrated having a first unit cell 1541, a second unit cell 1543, a facesheet 1544, a back plate 1546 and a septum 1545. The facesheet 1544 typically includes a plurality of perforations or openings to communicate acoustic waves or energy to an open chamber 1549 and then to the first unit cell 1541 and to the second unit cell 1543, which together act as a resonator to damp or attenuate the acoustic waves or energy. The back plate 1546 typically is non-perforated and, together with the facesheet 1544, provides a support structure for the noise attenuation panel 1540. In various embodiments, the septum 1545 separates the first unit cell 1541 and the open chamber 1549, with the septum 1545 including a plurality of perforations or openings to communicate acoustic waves or energy between the first unit cell 1541 and the open chamber 1549. Note, in contrast with, for example, the noise attenuation panel 1510, the noise attenuation panel 1520, the noise attenuation panel 1530, and the noise attenuation panel 1540, the first unit cell 1541 and the second unit cell 1543 are smaller in comparison to the sizes of the unit cells comprising the previous attenuation panels, thereby allowing for attenuation of noise at relatively higher frequencies.

Referring briefly now to FIGS. 16A, 16B, 16C and 16D, schematic views of various structures used for the facesheets and septa and other perforated structures described throughout the disclosure are provided. Referring to FIG. 16A, for example, a perforated structure 1600 (e.g., a facesheet or a septum) includes a slot 1602 (or a plurality of slots) that is aligned in a generally axial direction with respect to a longitudinal axis A. In various embodiments, the slot 1602 exhibits an aspect ratio that may vary from a generally square-shaped configuration (e.g., 1:1 aspect ratio) to an elongated rectangular-shaped configuration (e.g., 10:1 aspect ratio). Referring to FIG. 16B, a perforated structure 1610 includes a slot 1612 (or a plurality of slots) that is aligned in a generally non-axial direction (or angled direction) with respect to a longitudinal axis A. In various embodiments, the slot 1612 exhibits an aspect ratio that may vary from a generally square-shaped configuration (e.g., 1:1 aspect ratio) to an elongated rectangular-shaped configuration (e.g., 10:1 aspect ratio). Further, the disclosure contemplates the non-axial direction may exhibit an angle 1614 with respect to the axial direction from plus ninety degrees)(+90° to minus ninety degrees)(−90°. Referring to FIG. 16C, a perforated structure 1620 includes a plurality of perforations 1622 (e.g., circular holes) spaced about the surface of the perforated structure 1620. The plurality of perforations 1622 may exhibit a regular spacing (as illustrated) or a non-regular orientation. Referring to FIG. 16D, a perforated structure 1630 includes a mesh structure 1632. In various embodiments, the mesh structure 1632 may be formed by weaving various materials to have warp and weft interaction (e.g., longitudinal warp materials interwoven with transverse weft materials). Without loss of generality, each of the perforated structures just described may exhibit various percent openings with respect to the non-open portions of the perforated structures. For example, in various embodiments, the percent openings may range from about two percent (2%) to about ninety percent (90%) or any range of values therebetween.

The foregoing disclosure provides an acoustic metamaterial (e.g., a material engineered to have a property or properties not found in naturally occurring materials) consisting of a periodic lattice structure made of a unit cell bulb-like structure that divides a space into two or more separated but intertwined fluid networks (e.g., the volumes and the tubes described above). The fluid networks are locally coupled at the junctions of the lattice structure to create arrays of resonator networks. The resonator networks may be varied in length, width or height to satisfy particular target frequencies for maximum sound absorption or attenuation. Distributed networks of various dimensions may be constructed for broadband absorption. Hybrid concepts include various forms of restrictions or space fillers for tuning the resulting noise attenuation panel. These space-fillers can act as bulk absorbers to extend the bandwidth and frequency range of acoustic attenuation or they can be partially or completely solid (or filled) for improved structural performance. Further, the unit cells may be constructed of different forms, sizes or shapes or may have similar, repeating shapes of the same size, such as, for example, including the Schwarz P periodic minimal surface. Advantageously, the various resonator networks, including networks exhibiting repeating and identically shaped unit cells, or networks exhibiting non-repeating and non-identically shaped unit cells, or networks comprising various restrictions (complete or partial) distributed throughout various tubes or volumes described above, may be fabricated using additive manufacturing techniques and dynamically modeled via acoustic performance analysis prior to manufacture. Other benefits of the disclosure include noise attenuation panels exhibiting greater damping or attenuation per unit volume as compared to conventional honeycomb liners. This benefit translates into potential weight reduction or fuel savings over existing technology. The noise attenuation panels described herein also provides an ability to replace conventional structural honeycomb liners with liners having better attenuation and structural properties. Additional embodiments of noise attenuation panels that include many of the features described above are described below, followed by applications in various combustors for gas turbine engines.

Referring now to FIGS. 17A, 17B, 17C and 17D, schematic illustrations of various components of a noise attenuation panel 1700 are provided. The noise attenuation panel 1700 (FIG. 17D) is illustrated as having a first plurality of unit cells 1702 (FIG. 17B) and a second plurality of unit cells 1703 (FIG. 17A) merged within the first plurality of unit cells 1702. More specifically, the first plurality of unit cells 1702 takes the form, for example, of the first plurality of unit cells 302 described above with reference to FIG. 3A and includes a plurality of volumes 1772 disposed between the unit cells, similar to the plurality of volumes 372 described above with reference to FIG. 3B. The second plurality of unit cells 1703 is merged within the first plurality of unit cells 1702 by disposing a unit cell (from the second plurality of unit cells 1703) within a volume (from the plurality of volumes 1772), such that each of the plurality of volumes 1772 has a unit cell disposed within its interior space. In addition, the size of the exterior surface of each unit cell disposed within the second plurality of unit cells 1703 is sized smaller than the corresponding volume within which the unit cell resides or is disposed. The relative sizing provides a space between the exterior surfaces of the first plurality of unit cells 1702 and second plurality of unit cells 1703. The spacing provides a flow path 1705 (FIG. 3C) or a cooling fluid flow path for a cooling fluid to flow between the exterior surfaces of the first plurality of unit cells 1702 and the second plurality of unit cells 1703. To be clear, each of the first plurality of unit cells 1702 and the second plurality of unit cells 1703 is a solid lattice structure while the flow path 1705 is a fluid lattice structure (e.g., an open spacing or volume between the first plurality of unit cells 1702 and the second plurality of unit cells 1703). In various embodiments, the open spacing or volume is attributable to the additive manufacturing process used to construct the noise attenuation panel 1700, whereby the first plurality of unit cells 1702 and the second plurality of unit cells 1703 are constructed simultaneously with the flow path 1705 resulting thereby.

During operation, acoustic waves or energy 1710 impinge upon the noise attenuation panel 1700 (e.g., upon a facesheet 1704 of the noise attenuation panel 1700). The acoustic waves or energy enter a first plurality of axial tubes 1712 of the first plurality of unit cells 1702 and traverse the interiors of the various unit cells as indicated by a first noise attenuation flow path 1714. Similarly, the acoustic waves or energy 1710 enter a second plurality of axial tubes 1716 of the second plurality of unit cells 1703 and traverse the interiors of the various unit cells as indicated by a second noise attenuation flow path 1718. At the same time, a cooling fluid traverses the flow path 1705 between the first plurality of unit cells 1702 and the second plurality of unit cells 1703 as indicated by a cooling fluid flow path 1720. Further operational details are provided in the drawings that follow to clarify operation of the noise attenuation panel 1700. Note that while the disclosure describes the cooling fluid traversing the flow path 1705, the disclosure contemplates other manners of cooling the noise attenuation panel 1700. For example, in various embodiments, the cooling fluid may be introduced directly through the interior of a single one of the first plurality of unit cells 1702 and the second plurality of unit cells 1703, while the other of the first plurality of unit cells 1702 and the second plurality of unit cells 1703 is used for noise attenuation.

Referring now to FIGS. 18A, 18B, 18C, 18D, 18E, 18F and 18G, a noise attenuation panel 1800, similar to the noise attenuation panel 1700, is illustrated. The noise attenuation panel 1800 includes a first plurality of unit cells 1802 and a second plurality of unit cells 1803 merged within the first plurality of unit cells 1802 with a flow path 1805 existing between the exterior surfaces of the first plurality of unit cells 1802 and the second plurality of unit cells 1803. During operation (referring to FIGS. 18A and 18B), acoustic waves or energy 1810 impinge upon the noise attenuation panel 1800 (e.g., upon a facesheet 1804 of the noise attenuation panel 1800). The acoustic waves or energy enter a first plurality of axial tubes 1812 of the first plurality of unit cells 1802 and traverse the interiors of the various unit cells as indicated by a first noise attenuation flow path 1818 Similarly (referring to FIGS. 18C and 18D), the acoustic waves or energy 1810 enter a second plurality of axial tubes 1816 of the second plurality of unit cells 1803 and traverse the interiors of the various unit cells as indicated by a second noise attenuation flow path 1818. At the same time (referring to FIGS. 18E, 18F and 18G), a cooling fluid traverses the flow path 1805 between the first plurality of unit cells 1802 and the second plurality of unit cells 1803 as indicated by a cooling fluid flow path 1820, which, in various embodiments, completely fills the volume of space exiting between the exterior surfaces of the first plurality of unit cells 1802 and the second plurality of unit cells 1803. Benefits of the dual noise attenuation flow paths and cooling fluid flow path, based on the differing sizes of the unit cells comprising the first plurality of unit cells 1802 and the second plurality of unit cells 1803, include being able to cool the two pluralities of unit cells and the ability to attenuate different frequency ranges within the acoustic waves or energy 1810, with the larger of the unit cells (e.g., the first plurality of unit cells 1802) attenuating lower frequencies than the smaller of the unit cells (e.g., the second plurality of unit cells 1803).

Referring now to FIGS. 19A, 19B, 19C and 19D, cross-sectional and axial views of a combustor 1900, similar to the combustor section 112 described above with reference to FIG. 1 are provided. Referring more specifically to FIGS. 19A and 19B, in various embodiments, the combustor 1900 may generally include an outer liner assembly 1902, an inner liner assembly 1904 and a diffuser case module 1906 that surrounds the outer liner assembly 1902 and the inner liner assembly 1904. A combustion chamber 1908, positioned within the combustor 1900, has a generally annular configuration, defined by and comprising the outer liner assembly 1902, the inner liner assembly 1904 and a bulkhead liner assembly 1910. The outer liner assembly 1902 and the inner liner assembly 1904 are generally cylindrical and radially spaced apart, with the bulkhead liner assembly 1910 positioned generally at a forward end of the combustion chamber 1908. The outer liner assembly 1902 is spaced radially inward from an outer diffuser case 1912 of the diffuser case module 1906 to define an outer annular plenum 1914. The inner liner assembly 1904 is spaced radially outward from an inner diffuser case 1916 of the diffuser case module 1906 to define, in-part, an inner annular plenum 1918. Although a particular combustor is illustrated, it should be understood that this disclosure is also applicable to other combustor types having various combustor liner arrangements, various of which are described below. During operation, compressed air from a core flow path C enters the forward section of the combustion chamber 1908 and is mixed with fuel while the remainder of the compressed air enters the outer annular plenum 1914 and the inner annular plenum 1918.

Still referring to FIGS. 19A and 19B, the combustor includes one or more pairs of noise attenuation panels, including for example, a forward outer cooling flow noise attenuation panel 1920 and a forward inner cooling flow noise attenuation panel 1922, an aft outer cooling flow noise attenuation panel 1924 and an aft inner cooling flow noise attenuation panel 1926, and an outer diffuser case noise attenuation panel 1928 and an inner diffuser case noise attenuation panel 1930. As illustrated in FIG. 19B, the pairs of noise attenuation panels, in various embodiments, are spaced about the combustor 1900 in the circumferential direction (e.g., at 120° intervals, as illustrated in FIG. 19B, or at other suitable intervals), but the disclosure contemplates other configurations, including embodiments where one or more noise attenuation panels are configured to extend up to the entire 360° about the combustor. In addition, while not expressly illustrated in the figures, the disclosure contemplates perforations placed in or through the various liner assemblies and diffuser cases such that the acoustic waves or energy generated in the combustion chamber 1908 (e.g., combustor tones 1931, 1932 and 1933) is able to interact with the noise attenuation panels. Note that while pairs of noise attenuation panels are described and illustrated, the disclosure contemplates the use of single noise attenuation panels as well, positioned in the various locations just described. Further, while any of the noise attenuation panels previously described may be employed in the combustor 1900 to attenuate acoustic waves or energy generated in the combustion chamber 1908 (e.g., combustor tones 1931, 1932 and 1933), beneficially, the forward outer cooling flow noise attenuation panel 1920 and the forward inner cooling flow noise attenuation panel 1922 and the aft outer cooling flow noise attenuation panel 1924 and the aft inner cooling flow noise attenuation panel 1926 may be cooled by the compressed air from the core flow path C by employing the structures described above with reference to FIGS. 17A-17D and FIGS. 18A-18G. The outer diffuser case noise attenuation panel 1928 and the inner diffuser case noise attenuation panel 1930 are considered far enough away from the combustion chamber 1908 such that no cooling is required, but cooling may be incorporated nonetheless—e.g., via compressed air supplied by a low-pressure or high-pressure compressor. In addition, one potential advantage of using one or more of the aft outer cooling flow noise attenuation panel 1924, the aft inner cooling flow noise attenuation panel 1926, the outer diffuser case noise attenuation panel 1928 or the inner diffuser case noise attenuation panel 1930 is these panels exhibit reduced or eliminated pressure drop through the outer annular plenum 1914 and the inner annular plenum 1918 when compared with the pressure drop introduced by use of one or both of the forward outer cooling flow noise attenuation panel 1920 and the forward inner cooling flow noise attenuation panel 1922.

Referring now more specifically to FIGS. 19C and 19D, and with continued reference to FIGS. 19A and 19B, the combustor 1900 may include a noise attenuation panel 1940, such as, for example, one or more of the forward outer cooling flow noise attenuation panel 1920, the forward inner cooling flow noise attenuation panel 1922, the aft outer cooling flow noise attenuation panel 1924 and the aft inner cooling flow noise attenuation panel 1926 described above. The noise attenuation panel 1940 is typically positioned in one of the outer annular plenum 1914 and the inner annular plenum 1918. Attached to the noise attenuation panel 1940 and positioned radially outside of the diffuser case module 1906 is an extended noise attenuation panel 1942, which provides additional attenuation of acoustic waves and energy (e.g., combustor tones 1931). For example, where lower frequency ranges are targeted for attenuation, it is beneficial to increase the volume of the noise attenuation panel 1940, which may be accomplished via addition of the extended noise attenuation panel 1942. As described above, while any of the noise attenuation panels previously described may be employed in the combustor 1900 to attenuate acoustic waves or energy generated in the combustion chamber 1908, beneficially, the noise attenuation panel 1940 (as well as the extended noise attenuation panel 1942) may be cooled by the compressed air from the core flow path C by employing the structures described above with reference to FIGS. 17A-17D and FIGS. 18A-18G.

Referring now to FIGS. 20A and 20B, a combustor 2000 is illustrated and described. In various embodiments, the combustor 2000 may be employed downstream of the combustor section 112 described above or may be used as a stand-alone unit. In various embodiments, the combustor 2000 may generally include an annular liner assembly 2002 surrounded by and spaced radially from an annular casing 2004, which together define an annular cooling passage 2006 that extends radially and longitudinally between the annular liner assembly 2002 and the annular casing 2004. A combustion chamber 2010 is provided radially inward of the annular liner assembly 2002. In various embodiments, the combustion chamber 2010 receives fuel from a plurality of injectors 2012 positioned upstream of the combustion chamber 2010 and the annular cooling passage 2006 receives compressed air from a core flow path C, where the compressed air is used to both cool the annular liner assembly 2002 and to provide an oxidant to the combustion chamber 2010. Similar to the combustor 1900 described above, the combustor 2000 may include one or more noise attenuation panels, such as, for example, a first cooling flow noise attenuation panel 2014 and a second cooling flow noise attenuation panel 2016 spaced radially opposite the first cooling flow noise attenuation panel 2014. As illustrated, the first cooling flow noise attenuation panel 2014 and the second cooling flow noise attenuation panel 2016, in various embodiments, are spaced about the combustor 2000 in the circumferential direction (e.g., at 180° intervals, as illustrated, or at other suitable intervals). Note that while any of the noise attenuation panels previously described may be employed in the combustor 2000 to attenuate acoustic waves or energy generated in the combustion chamber 2010 (e.g., combustor tones 2031), beneficially, the first cooling flow noise attenuation panel 2014 and the second cooling flow noise attenuation panel 2016 may be cooled by the compressed air from the core flow path C by employing the structures described above with reference to FIGS. 17A-17D and FIGS. 18A-18G.

Referring now to FIG. 21 , a combustor 2100 is illustrated and described. In various embodiments, the combustor 2100 is disposed downstream of a compressor section (e.g., the high-pressure compressor section 110 (HPC)) and upstream of a turbine section (e.g., the high-pressure turbine section 114 (HPT)). In various embodiments, the combustor 2100 may generally include an annular inner casing 2106 surrounded by and spaced radially from an annular outer casing 2108, which together define an annular combustion chamber 2110 that extends radially and longitudinally between the annular inner casing 2106 and the annular outer casing 2108. In various embodiments, the combustor 2100 in the form described is representative of a rotating detonation combustor 2112, which receives fuel and oxidant and supports a detonation wave that travels circumferentially about the annular combustion chamber 2110. As illustrated, upstream running combustor tones 2114 and downstream running combustor tones 2116 are generated by the combustion occurring in the annular combustion chamber 2110. An outer forward noise attenuation panel 2118 and an inner forward noise attenuation panel 2120 may be positioned radially outside and radially inside, respectively, of a core flow path C and configured to attenuate the upstream running combustor tones 2114. Similarly, an outer aft noise attenuation panel 2122 and an inner aft noise attenuation panel 2124 may be positioned radially outside and radially inside, respectively, of an exhaust flow path E and configured to attenuate the downstream running combustor tones 2116. As with the foregoing embodiments, note that while any of the noise attenuation panels previously described may be employed in the combustor 2100 to attenuate acoustic waves or energy generated in the combustion chamber 2010 (e.g., the upstream running combustor tones 2114 and the downstream running combustor tones 2116), beneficially, one or more of the outer forward noise attenuation panel 2118, the inner forward noise attenuation panel 2120, the outer aft noise attenuation panel 2122 and the inner aft noise attenuation panel 2124 may be cooled by the compressed air from the core flow path C by employing the structures described above with reference to FIGS. 17A-17D and FIGS. 18A-18G.

Referring now to FIG. 22 and FIG. 23 , a sectional schematic view of a portion of a noise attenuation panel 2200, similar to any of the noise attenuation panels described above, are provided. Referring to FIG. 22 , a schematic view of an isolated one of the plurality of unit cells 2202, similar to one of the plurality of unit cells 232 illustrated in FIG. 2B or one of the plurality of unit cells 302 illustrated in FIG. 3A, is provided. Referring to FIG. 23 , and except as otherwise denoted, in various embodiments each member of the plurality of unit cells 2202 has properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIG. 2A and FIG. 2B, and so such properties and characteristics are not repeated here.

One difference between the embodiments described with reference to FIG. 2A through FIG. 3B and those described with reference to FIG. 22 and FIG. 23 is the unit cell 2202 includes a solid core material 2224 (also referred to herein as a mass element) located in the volume 2226 defined by central body 2222. Interior surfaces of the plurality of unit cells 2202 define a plurality of volumes wherein the plurality of mass elements 2224 are disposed. Mass element 2224 may completely fill volume 2226, though in various embodiments mass element 2224 only partially fills volume 2226. In various embodiments, each mass element 2224 comprises a relatively solid and dense material, including metals or metal alloys such as aluminum, steel, and nickel alloys, among others.

Another difference between the embodiments described with reference to FIG. 2A through FIG. 3B and those described with reference to FIG. 22 and FIG. 23 is the tube 2203, either lateral or axial, depending on the orientation of the unit cell, is not necessarily hollow. In various embodiments, each tube 2203 is solid. In this regard, “tube” as used herein may refer to a hollow structure or a solid structure. In various embodiments, each tube 2203 comprises a relatively flexible and less dense material such as a plastic material or an elastomer. Each tube 2203 may be made from an additively manufactured metal foam-like structure which is flexible. Each tube 2203 may act as a spring element connecting the mass elements 2224. In various embodiments, the mass element 2224 may be sized to damp or attenuate vibration at different frequencies.

The mass inclusions (i.e., mass elements 2224) and the elastic frame (i.e., the plurality of tubes 2203 and central bodies 2222) together constitute a multiple-degree-of-freedom (MDOF) mass-spring system. When attached to a structure, this MDOF mass-spring system may absorb the vibrations at specific frequencies corresponding to the natural frequencies of the mass-spring system. The values of the natural frequencies may depend on the weight of the masses and the effective spring constants of the elastic frame. For a given elastic frame, using heavier masses tends to result in lower natural frequencies while using lighter masses tends to result in higher natural frequencies. Similarly, for given mass inclusions, a softer elastic frame tends to give lower natural frequencies while harder elastic frame tends to give higher natural frequencies.

Similar to the layer of unit cells described with respect to FIG. 3B, exterior surfaces of the first plurality of unit cells 2202 define a noise attenuation flow path for a flow of air therebetween. The plurality of unit cells 2202 of FIG. 23 comprises an NxM plurality of unit cells 2202 interconnected together (via a plurality of lateral tubes as described above) and an (N-1)×(M-1) plurality of volumes 2272 disposed between the unit cells 2202. As discussed with respect to at least FIG. 4A, one or more of the individual members of the (N-1)×(M-1) plurality of volumes 2272 may be either completely or partially sealed or restricted to tune the noise attenuation panel 2200 to attenuate various frequencies of the acoustic energy spectrum that the noise attenuation panel 2200 is being subjected during operation. In various embodiments, each of the plurality of volumes 2272 may be sized to damp or attenuate acoustic waves or energy at different frequencies. In this manner, noise attenuation panel 2200 may simultaneously control acoustic waves or energy (i.e., via the plurality of volumes 2272) and vibration (i.e., via the mass elements 2224).

Referring now to FIG. 24 , a schematic illustration of a noise attenuation panel 2400 is provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 2400 includes a plurality of unit cells 2402 sandwiched between a facesheet and a back plate (see FIG. 3A). Each member of the plurality of unit cells 2402 may have properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics are not repeated here. In various embodiments, the plurality of mass members or elastic frame may exhibit different sizes. For example, as illustrated with reference to FIG. 24 , the noise attenuation panel 2400 may include a plurality of mass members 2424 and one or more larger mass members 2426.

A first pair of axial tubes 2410 and a second pair of axial tubes 2412, opposite the first pair of axial tubes 2410 (e.g., each of the first axial pair of tubes 2410 being axially aligned with a respective one of the second pair of axial tubes 2412), may be connected to the mass member 2426. A first pair of lateral tubes 2414 and a second pair of lateral tubes 2416, opposite the first lateral tube 2414 (e.g., each of the first pair pf lateral tubes 2414 being axially aligned with a respective one of the second pair of lateral tubes 2416), may be connected to the mass member 2426. Each of the axial tubes 2410, 2412 and the lateral tubes 2414, 2416 may extend from a single mass member 2424, though in various embodiments one or more of the axial tubes 2410, 2412 and the lateral tubes 2414, 2416 may be connected to a facesheet or a back plate, depending on the desired number of layers of the plurality of unit cells 2402. In various embodiments, mass member 2426 may at least partially define one or more of the plurality of volumes 2472.

Referring now to FIG. 25 , a schematic illustration of a noise attenuation panel 2500 is provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 2500 includes a plurality of unit cells 2502 sandwiched between a facesheet and a back plate (see FIG. 3A). Each member of the plurality of unit cells 2502 may have properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, and so such properties and characteristics are not repeated here. In various embodiments, the plurality of mass members or elastic frame may exhibit different sizes. For example, as illustrated with reference to FIG. 25 , the noise attenuation panel 2500 may include a first plurality of mass members 2524, a second plurality of mass members 2526, and a third plurality of mass members 2528, each comprising different size mass members.

In various embodiments, the first plurality of mass members 2524, the second plurality of mass members 2526, and/or the third plurality of mass members 2528 may be periodically displaced within noise attenuation panel 2500. In various embodiments, the first plurality of mass members 2524, the second plurality of mass members 2526, and/or the third plurality of mass members 2528 may be alternatingly displaced within noise attenuation panel 2500. For example, a mass member 2524 of the first plurality of mass members 2524 may be located between mass member 2526 along a first direction (i.e., lateral direction in FIG. 25 ). Similarly, a mass member 2524 of the first plurality of mass members 2524 may be located between mass members 2528 along a second direction (i.e., axial direction in FIG. 25 ).

In various embodiments, as described herein, the elastic frame of noise attenuation panel 2500 (or any other noise attenuation panel described herein) comprises a plurality of central bodies 2522 connected together by elastic necks 2530 (also referred to herein as tubes). The central bodies 2522 and/or elastic necks 2530 may exhibit different sizes as described herein, for example as described with reference to FIG. 10A through FIG. 14 . Moreover, in various embodiments when the elastic necks 2530 are hollow, the openings into the elastic necks 2530 may exhibit different sizes as described herein, for example as described with reference to FIG. 4B, and FIG. 10A through FIG. 10C, and FIG. 12B through FIG. 14 . In this regard, it should be understood that the features of the various noise attenuation panels described herein may be combined in various embodiments.

Referring now to FIG. 26A through FIG. 26C, a schematic illustration of a portion of a noise attenuation panel 2600 is provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 2600 includes a plurality of unit cells 2602 sandwiched between a facesheet and a back plate (see FIG. 3A). Each member of the plurality of unit cells 2602 may have properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, or any other of the plurality of unit cells described herein, and so such properties and characteristics are not repeated here. In various embodiments, the volumes 2672 that surround the exterior surfaces of the unit may be separated by a plurality of elastic disks 2632, each comprising an orifice 2634. For example, each of the orifices 2634 may exhibit a size (e.g., a characteristic dimension) that varies to meter the air movement between each of the volumes 2672. Depending on the size of the orifice 2634 diameter, the frequency of the acoustic absorption may change. Note that this elastic disk 2632 with orifice 2634 is a way to change the narrowness of the open area between volumes 2672 (e.g., rather than directly changing the geometry of the unit cells). In this manner, the elastic disks 2632 may provide a means for varying the openings between volumes 2672, while maintaining the size of the volumes 2672 substantially the same. In this regard, an elastic disk 2632 may be embedded and/or integrated into the elastic lattice structure (also referred to herein as an elastic frame). Each of the plurality of orifices 2634 may be at least partially defined by the associated elastic disk 2632. Each of the plurality of volumes 2672 may be at least partially defined by at least one associated elastic disk 2632. The elastic disk 2632 may be used to control the size of the orifice 2634 to attenuate various frequencies of the acoustic energy spectrum that the noise attenuation panel 2600 is being subjected to during operation. The size of the elastic disk 2632 may be varied to vary the size of the volume 2672 as desired, for example similar to the volumes described with reference to FIG. 13 and FIG. 14 or as illustrated in FIG. 10A through FIG. 10C.

Noise attenuation panel 2600 may further comprise a plurality of mass elements 2624. Each of the mass elements 2624 may have properties and characteristics similar to the mass elements 2224 described above with reference to FIG. 22 through FIG. 23 , or any other of the plurality of mass elements described herein, and so such properties and characteristics are not repeated here. In this manner, noise attenuation panel 2600 may simultaneously control acoustic waves or energy (i.e., via the plurality of volumes 2672) and vibration (i.e., via the mass elements 2624).

Referring now to FIG. 27A through FIG. 27C, schematic illustrations of a portion of a noise attenuation panel 2700 is provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 2700 includes a plurality of unit cells 2702 sandwiched between a facesheet and a back plate (see FIG. 3A). Each member of the plurality of unit cells 2702 may have properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, or any other of the plurality of unit cells described herein, and so such properties and characteristics are not repeated here. A flow path 2705 may be defined by each of the plurality of unit cells 2702 which define a plurality of volumes 2772. Each of the plurality of unit cells 2702 may be a solid lattice structure while the flow path 2705 is a fluid lattice structure (e.g., an open spacing or volume between each of the plurality of unit cells 2702). In various embodiments, the open spacing or volume is attributable to the additive manufacturing process used to construct the noise attenuation panel 2700, whereby the plurality of unit cells 2702 are constructed simultaneously with the flow path 2705 resulting thereby.

Noise attenuation panel 2700 further comprises one or more solid perforated plates 2760 intertwined and/or interposed with the solid lattice structure. Each perforated plate 2760 may comprise a planar body. Perforated plates 2760 may be decoupled from the solid lattice structure (i.e., perforated plates 2760 and the solid lattice structure (i.e., plurality of unit cells 2702) may be two separate pieces of material). The intertwining of the plurality of unit cells 2702 with the perforated plates 2760 is attributable to the additive manufacturing process used to construct the noise attenuation panel 2700, whereby the plurality of unit cells 2702 are constructed simultaneously with the perforated plates 2760.

Perforated plates 2760 may comprise a first plurality of apertures 2762 configured to accommodate each of the plurality of necks or tubes 2730. In this regard, a tube 2730 of a unit cell 2702 may pass through each of the plurality of apertures 2762. The perforated plates 2760 may include a first perforated plate 2760 ₁, a second perforated plate 2760 ², and a third perforated plate 2760 ³. The plurality of unit cells 2702 may include a first layer of unit cells 2702 ¹ (also referred to herein as a first plurality of unit cells), a second layer of unit cells 2702 ² (also referred to herein as a second plurality of unit cells), a third layer of unit cells 2702 ³, and a fourth layer of unit cells 2702 ⁴. The first perforated plate 2760 ¹ may be disposed between the first layer of unit cells 2702 ¹ and the second layer of unit cells 2702 ². The second perforated plate 2760 ² may be disposed between the second layer of unit cells 2702 ² and the third layer of unit cells 2702 ³. The third perforated plate 2760 ³ may be disposed between the third layer of unit cells 2702 ³ and the fourth layer of unit cells 2702 ⁴. Any number (N) of layers of unit cells and any number (N-1) of perforated plates may be used to form the noise attenuation panel 2700.

Perforated plates 2760 may comprise a second plurality of apertures 2764 configured to meter a flow of air through each of the flow paths 2705. In this manner, perforated plates 2760 and the second plurality of apertures 2764 may meter the flow of air between the volumes 2772 to attenuate various frequencies of the acoustic energy spectrum that the noise attenuation panel 2700 is being subjected to during operation. The size of the apertures 2764 may be varied depending on the frequency of the acoustic energy spectrum that the noise attenuation panel 2700 is being subjected to during operation. The size of the volumes 2772 may be varied, for example similar to the volumes described with reference to FIG. 13 and FIG. 14 or as illustrated in FIG. 10A through FIG. 10C. Second plurality of apertures 2764 may be sized smaller than first plurality of aperture 2762 in various embodiments.

Noise attenuation panel 2700 may further comprise a plurality of mass elements 2724. Each of the mass elements 2724 may have properties and characteristics similar to the mass elements 2224 described above with reference to FIG. 22 through FIG. 23 , or any other of the plurality of mass elements described herein, and so such properties and characteristics are not repeated here. In this manner, noise attenuation panel 2700 may simultaneously control acoustic waves or energy (i.e., via the plurality of volumes 2772 and perforated plates 2760) and vibration (i.e., via the mass elements 2724).

Referring now to FIG. 28A and FIG. 28B, a noise attenuation panel 2800, similar to the noise attenuation panels described above, are illustrated. The noise attenuation panel 2800 includes a first plurality of unit cells 2802 and a second plurality of unit cells 2803 intertwined with the first plurality of unit cells 2802. The first plurality of unit cells 2802 may target vibration attenuation and the second plurality of unit cells 2803 may target noise attenuation. In various embodiments, the first plurality of unit cells 2802 are similar to the plurality of unit cells 2202 described above with reference to FIG. 23 . In this regard, first plurality of unit cells 2802 comprises a plurality of mass elements 2824. In various embodiments, the second plurality of unit cells 2803 are similar to the plurality of unit cells 232 illustrated in FIG. 2B, or the plurality of unit cells 302 illustrated in FIG. 3A, or any other of the plurality of unit cells illustrated in FIG. 2A through FIG. 17D. In this regard, second plurality of unit cells 2803 comprises a periodic structure having a plurality of resonators configured to damp or attenuate acoustic waves or energy results. In this manner, noise attenuation panel 2800 may simultaneously control acoustic waves or energy (i.e., via the second plurality of unit cells 2803) and vibration (i.e., via first plurality of unit cells 2802).

The second plurality of unit cells 2803 may extend through each of the plurality of volumes 2872 (e.g., see also volumes 2272 of FIG. 23 ) of the first plurality of unit cells 2802. Noise attenuation panel 2800 may be manufactured using additive manufacturing methods. The first plurality of unit cells 2802 may be interlocked with the second plurality of unit cells 2803 as each row and/or layer of the unit cells is successively manufactured using the additive manufacturing method(s). The first plurality of unit cells 2802 may be separate from the second plurality of unit cells 2803 (i.e., comprising two discrete members), though in various embodiments the first plurality of unit cells 2802 and the second plurality of unit cells 2803 may be manufactured as a unitary member connected at the sidewalls or in various embodiments with the sidewalls merged together such that each of the plurality of unit cells 2802, 2803 share sidewalls.

Although various embodiments of noise attenuation panels are described herein with respect to combustor application, it should be understood that noise attenuation panels of the present disclosure may be used for various components for a gas turbine engine, including nacelles, turbine sections, fan sections, exhaust sections, or any other section utilizing panels where noise and/or vibration attenuation is desired. It should further be understood that noise attenuation panels of the present disclosure may be used for various aircraft structures, including gas turbine engine structures, as well as non-engine/propulsor aircraft structures, including in the interior of the aircraft.

The various resonator networks and/or noise attenuation panels addressed in this disclosure may be fabricated using additive manufacturing techniques. The various resonator networks and/or noise attenuation panels may be dynamically modeled via acoustic performance analysis prior to manufacture. Referring now to FIG. 29 , an overview of a polymer additive manufacture process is illustrated, in accordance with various embodiments. At step 2910, an acoustic design model is generated in software, such as CAD (computer-aided design) software. At step 2920, the acoustic design model may be converted into an additive manufacturing readable file—e.g., a 3D printing file, such as an STL (stereolithography) file; though the particular type of 3D printing file may vary depending on the particular additive manufacturing method and software being used. In general, the STL file is used as a storage point for information concerning a 3D model. The information is stored in a format that offers a representation of the “raw” surface of the 3D model in tiny triangles. The more detailed and complex the 3D model is, the more triangles the program tends to use to create a representation of the model.

At step 2930, a print is prepared based on the additive manufacturing technology. For example, supports for the 3D model may be added, the part may be oriented based on the design or application, the material may be selected, the layer thickness may be selected, the features sizes may be selected, the wall thickness may be selected, the hole sizes may be selected, the surface finish may be selected, the dimensional accuracy may be selected, and/or the build size may be selected.

At step 2940, software may be used to “slice” the 3D print to detect any islands or discontinuity between layers.

At step 2950, post-processing may be performed. Post-processing may include removal of the supports, cleaning of the part(s), and/or post-print curing (e.g., a thermal or UV (ultraviolet) cure).

In various embodiments, at step 2960, design optimization may be performed. For example, design geometry, features, and/or print parameters may be varied to accommodate for any warpage, distortion, and/or shrinkage observed. Steps 2910 through 2950 may then be repeated using the optimized design parameters.

At step 2970, a final additively manufactured product, such as a resonator network of the present disclosure, is produced.

Referring now to FIG. 30 , a section view of a portion of a noise attenuation panel 3000 is provided, in accordance with various embodiments. Similar to the various embodiments described above, the noise attenuation panel 3000 includes a plurality of unit cells 3002 sandwiched between a facesheet and a back plate (see FIG. 3A). Each member of the plurality of unit cells 3002 may have properties and characteristics similar to the unit cell 202 and to the plurality of unit cells 232 described above with reference to FIGS. 2A and 2B, or any other of the plurality of unit cells described herein, and so such properties and characteristics are not repeated here.

In various embodiments, interior surfaces 3028 of each of the unit cells 3002 define a plurality of volumes 3038. Each volume 3038 may be separated by a disk 3032. In this regard, noise attenuation panel 3000 may comprise a plurality of disks 3032. Each disk may be configured to meter a flow of a fluid (e.g., air) between adjacent unit cells 3002. In various embodiments, one or more disk 3032 comprises an orifice 3034. In the illustrated embodiment, FIG. 30 shows disks 3032 spaced apart along a first lateral direction (i.e., the Y-direction); however it should be understood that the disks 3032 may be disposed in any of the tubes (e.g., lateral tubes (e.g., tubes in the Y-direction and/or X-direction) or axial tubes (e.g., tubes in the Z-direction)) of the noise attenuation panel 3000.

In various embodiments, noise attenuation panel 3000 may comprise a plurality of blended transitions 3036 (also referred to herein as blended transition features). As used herein, the term “blended transition” refers to a feature disposed at an inner corner of two intersecting components (e.g., unit cell 3002 and disk 3032) comprising a buildup of material to eliminate sharp corners or transitions. In this manner, regions of stress concentration may be mitigated during the additive manufacturing process. In various embodiments, the blended transition 3036 may comprise an inner fillet, an inside chamfer, a radiused surface, or the like. The blended transition 3036 may be disposed at the intersection of the disk 3032 and the interior surface 3028 of the unit cell 3002. The blended transition 3036 may extend around an entire perimeter of the disk 3032. In various embodiments, a blended transition 3036 is disposed at only one side of the disk 3032. In various embodiments, blended transitions 3036 are disposed at both sides of the disk 3032.

Referring now to FIG. 31 , a section view of a portion of the noise attenuation panel 3000 is illustrated, in accordance with various embodiments. Noise attenuation panel 3000 is illustrated with a first blended transition 3036 ¹ located at an interface between the disk 3032 and an interior surface 3038 ¹ (also referred to herein as a first interior surface) of the first unit cell 3002 ¹ and a second blended transition 3036 ¹ located at an interface between the disk 3032 and an interior surface 3038 ² (also referred to herein as a second interior surface) of the second unit cell 3002 ². It should be understood that noise attenuation panel 3000 may comprise additional disks 3032 spaced apart along a second lateral direction (i.e., the X-direction) and/or along an axial direction (i.e., the Z-direction) without departing from the scope of the present disclosure. The location/distribution, thickness, and orifice size of the disks may define the acoustic performance of the overall the structure. In this regard, the location of the disks 3032 and the size of the orifices 3034 may be chosen as desired depending on the targeted acoustic signal.

In various embodiments, one or more disks 3032 may comprise an orifice size of zero (i.e., the disk may be solid or closed) to prevent fluid communication between unit cells. For example, FIG. 31 illustrates disk 3032 ¹ located between third unit cell 3002 ³ and fourth unit cell 3002 ⁴. Disk 3032 ¹ does not have an orifice. In this regard, disk 3032 ¹ may meter the flow of fluid (e.g., air) between third unit cell 3002 ³ and fourth unit cell 3002 ⁴ by preventing direct fluid communication between third unit cell 3002 ³ and fourth unit cell 3002 ⁴.

Referring now to FIG. 32 , a noise attenuation panel 3200, which may be similar to any of the noise attenuation panels described above, is provided. Noise attenuation panel 3200 may comprise a plurality of layers of unit cells, including, for example, a first lateral layer of unit cells 3251 (or a first periodic structure), a second lateral layer of unit cells 3252 (or a second periodic structure), a third lateral layer of unit cells 3253 (or a third periodic structure) and a fourth lateral layer of unit cells 3254 (or a fourth periodic structure). A wall thickness T of the first periodic structure 3251 may increase along a first direction (i.e., along the positive Y-direction in the illustrated embodiment). In various embodiments, the wall thickness T of the first periodic structure 3251 monotonically increases along the first direction from a first side of a first unit cell 3202 ¹ to a second side of a second unit cell 3202 ². In various embodiments, the wall thickness T of the first periodic structure 3251 monotonically increases along the first direction from first unit cell 3202 ¹ to fourth unit cell 3202 ⁴. In various embodiments, the wall thickness T of the first periodic structure 3251 linearly increases along the first direction. In various embodiments, the wall thickness T of the first periodic structure 3251 increases incrementally along the first direction with each unit cell. For example, first unit cell 3202 ¹ may comprise a first thickness T1, second unit cell 3202 ² may comprise a second thickness T2, third unit cell 3202 ³ may comprise a third thickness T3, and fourth unit cell 3202 ⁴ may comprise a fourth thickness T4. First thickness T1 may be less than second thickness T2. Second thickness T2 may be less than third thickness T3. Third thickness T3 may be less than fourth thickness T4. In various embodiments, each unit cell 3202 ¹, 3202 ², 3202 ³, 3202 ⁴ comprises a uniform thickness. In various embodiments, the thickness of each unit cell 3202 ¹, 3202 ², 3202 ³, 3202 ⁴ increases along a first lateral direction (e.g., along the positive Y-direction) and/or a second lateral direction (e.g., along the positive X-direction). In various embodiments, the wall thickness of noise attenuation panel 3200 remains constant along a second direction, such as the axial direction (e.g., the Z-direction). For example, thickness T1 may be equal to thickness T5 of unit cell 3202 ⁵, thickness T2 may be equal to T6 of unit cell 3202 ⁶, thickness T3 may be equal to thickness T7 of unit cell 3202 ⁷, and/or thickness T4 may be equal to thickness T8 of unit cell 3202 ⁸. Stated differently, unit cells aligned in the axial direction may comprise a constant thickness. However, in various embodiments, noise attenuation panel 3200 may be rotated ninety degrees (while the XYZ-axes remain stationary) such that the thickness of each unit cell 3202 ¹, 3202 ², 3202 ³, 3202 ⁴ remains constant in the lateral direction, but increases along the axial direction (i.e., along the Z-direction).

Referring now to FIG. 33 , a noise attenuation panel 3300, which may be similar to any of the noise attenuation panels described above, is provided. Noise attenuation panel 3300 may be twisted about one or more axes. For example, attenuation panel 3300 may comprise a planar face 3392. Planar face 3392 may reside in a plane 3396. In this regard, a plurality of tubes 3330 of the noise attenuation panel 3300 may extend from and be oriented orthogonally with respect to planar face 3392 (and plane 3396). A center axis 3394 (also referred to herein as a first axis) may be defined as extending orthogonally through planar face 3392 (and plane 3396). Noise attenuation panel 3300 may include a plurality of unit cells including a first layer of unit cells 3302 ¹ (also referred to herein as a first plurality of unit cells), a second layer of unit cells 3302 ² (also referred to herein as a second plurality of unit cells), a third layer of unit cells 3302 ³, and a fourth layer of unit cells 3302 ⁴. Second layer of unit cells 3302 ² may be twisted or rotated about center axis 3394 with respect to first layer of unit cells 3302 ¹. Third layer of unit cells 3302 ³ may be twisted or rotated about center axis 3394 with respect to second layer of unit cells 3302 ². Fourth layer of unit cells 3302 ⁴ may be twisted or rotated about center axis 3394 with respect to third layer of unit cells 3302 ³. In this manner, adjacent layers of unit cells may be in different orientations with respect to one another. Any of the layer of unit cells may be rotated about center axis 3394 with respect to an immediately adjacent layer of unit cells by between 0.1° and 5° in various embodiments, between 0.1° and 2° in various embodiments, or between 0.5° and 1.5° in various embodiments. In this manner, the axial tubes 3310 of the first layer of unit cells 3302 ¹ may be in a different orientation than the axial tubes 3312 of the second layer of unit cells 3302 ². Moreover, lateral tubes 3314 of the first layer of unit cells 3302 ¹ may be in a different orientation than lateral tubes 3316 of the second layer of unit cells 3302 ². Still further, lateral tubes 3318 between the first layer of unit cells 3302 ¹ and the second layer of unit cells 3302 ² may be in a different orientation than the lateral tubes 3319 between the second layer of unit cells 3302 ² and the third layer of unit cells 3302 ³.

In various embodiments, any of the unit cells of noise attenuation panel 3300 may be rotated about a center axis 3398 (also referred to herein as a second axis) with respect to an adjacent unit cell. Center axis 3398 may be oriented orthogonal with respect to center axis 3394. For example, unit cell 3328 may be rotated about center axis 3398 with respect to unit cell 3329.

In various embodiments, noise attenuation panel 3300 is manufactured in the twisted orientation about the one or more axes to account for predicted distortion or warping of the noise attenuation panel 3300 during an additive manufacturing process (e.g., VAT photopolymerization effect). In this manner, noise attenuation panel 3300 may be manufactured having a twisted geometry, and, during the additive manufacturing process, an imbalance in stresses in the noise attenuation panel 3300 may cause the noise attenuation panel 3300 to twist in an opposite direction as the designed twist direction, which causes the noise attenuation panel 3300 to untwist such that each layer of unit cells is similarly oriented (e.g., similar to noise attenuation panel 3200 of FIG. 32 ). Stated differently, noise attenuation panel 3300 may be manufactured with a twisted geometry, as illustrated in FIG. 33 for example, and as the noise attenuation panel 3300 is additively manufactured the noise attenuation panel 3300 may untwist (e.g., as resin in the noise attenuation panel 3300 cures) to ultimately comprise a non-twisted geometry.

In various embodiments, noise attenuation panel 3300 is twisted about the one or more axes to account for non-planar components to which the noise attenuation panel 3300 is installed. Stated differently, noise attenuation panel 3300 may be additively manufactured to conform to the contour of the component in which noise attenuation panel 3300 is being installed.

Referring now to FIG. 34 , a noise attenuation panel 3400 is illustrated which comprises combined features of noise attenuation panel 3200 and noise attenuation panel 3300. In this regard, noise attenuation panel 3400 may both comprise a varying wall thickness and be twisted about one or more axes. By additively manufacturing noise attenuation panel 3400, the wall thickness and twist of noise attenuation panel 3400 is tailorable as desired.

Referring now to FIG. 35 , a noise attenuation panel 3500, which may be similar to any of the noise attenuation panels described above, is provided. Noise attenuation panel 3500 may be bent or curved around/about a central axis 3594. Noise attenuation panel 3500 may comprise a facesheet 3534 and a back plate 3536. Noise attenuation panel 3500 may comprise an annular geometry. Noise attenuation panel 3500 may comprise a semi-annular geometry. Noise attenuation panel 3500 may extend circumferentially about central axis 3594. Noise attenuation panel 3500 may comprise a first layer of unit cells 3551 (or a first periodic structure) and a second layer of unit cells 3552 (or a second periodic structure). Noise attenuation panel 3500 may comprise any number of layers of unit cells. First layer of unit cells 3551 and second layer of unit cells 3552 may both be bent/curved around/about central axis 3594. First layer of unit cells 3551 may be oriented substantially parallel with respect to second layer of unit cells 3552. First layer of unit cells 3551 may be located outward from the second layer of unit cells 3552 with respect to the central axis 3594. In various embodiments, first layer of unit cells 3551 is located radially outward from the second layer of unit cells 3552 (i.e., further away from central axis 3594).

In various embodiments, a wall thickness of the plurality of unit cells increases along an axis extending perpendicular to the central axis 3594 such that a first wall thickness of the first layer of unit cells 3551 is greater than a second wall thickness of the second layer of unit cells 3552. Because the second layer of unit cells 3552 are closer to the central axis 3594 (i.e., the second layer of unit cells 3552 comprises a smaller radius), the unit cells of second layer of unit cells 3552 tend to be more tightly compressed together (i.e., the density of unit cells increases closer to the central axis 3594). In this manner, by decreasing the wall thickness for layers of unit cells which are closer to the central axis 3594, the increased density of unit cells is accommodated. In this regard, the wall thickness of noise attenuation panel 3500 may decrease along a direction (represented by arrow 3596) pointing inward toward central axis 3596. It should be understood that the direction of arrow 3596 changes along the circumference of noise attenuation panel 3500 such that arrow 3596 always points toward central axis 3594. The wall thickness of noise attenuation panel 3500 may increase as discussed with respect to the wall thickness of noise attenuation panel 3200 along the positive Y-direction of FIG. 32 where the Y-direction of FIG. 32 is the direction of arrow 3596 of FIG. 35 .

In various embodiments, the wall thickness of first layer of unit cells 3551 and/or the second layer of unit cells 3552 remains constant along the hoop direction (also referred to as the circumferential direction). Stated differently, the wall thickness of first layer of unit cells 3551 and/or the second layer of unit cells 3552 remains constant proceeding about the central axis 3594. In various embodiments, the wall thickness of first layer of unit cells 3551 and/or the second layer of unit cells 3552 linearly decreases along the direction 3596 toward the central axis 3594.

As described herein, a noise attenuation panel of the present disclosure may be manufactured using additive manufacturing methods. As used herein, the term “additive manufacturing” encompasses any method or process whereby a three-dimensional object is produced by creation of a substrate or material to an object, such as by addition of successive layers of a material to an object to produce a manufactured product having an increased mass or bulk at the end of the additive manufacturing process than the beginning of the process. In contrast, traditional manufacturing (e.g., forms of subtractive manufacturing) by machining or tooling typically relies on material removal or subtractive processes, such as cutting, lathing, drilling, grinding, and/or the like, to produce a final manufactured object that has a decreased mass or bulk relative to the starting workpiece. Other traditional manufacturing methods includes forging or casting, such as investment casting, which utilizes the steps of creating a form, making a mold of the form, and casting or forging a material (such as metal) using the mold. As used herein, the term “additive manufacturing” should not be construed to encompass fabrication or joining of previously formed objects.

A variety of additive manufacturing technologies are commercially available. Such technologies include, for example, fused deposition modeling, PolyJet 3D printing, electron beam freeform fabrication, direct metal laser sintering, electron-beam melting, selective laser melting, selective heat sintering, selective laser sintering, stereolithography, multiphoton photopolymerization, and digital light processing. These technologies may use a variety of materials as substrates for an additive manufacturing process, including various plastics and polymers, metals and metal alloys, ceramic materials, metal clays, organic materials, and the like. Any method of additive manufacturing and associated compatible materials, whether presently available or yet to be developed, are intended to be included within the scope of the present disclosure.

Benefits, other advantages, and solutions to problems have been described herein with regard to specific embodiments. Furthermore, the connecting lines shown in the various figures contained herein are intended to represent exemplary functional relationships and/or physical couplings between the various elements. It should be noted that many alternative or additional functional relationships or physical connections may be present in a practical system. However, the benefits, advantages, solutions to problems, and any elements that may cause any benefit, advantage, or solution to occur or become more pronounced are not to be construed as critical, required, or essential features or elements of the disclosure. The scope of the disclosure is accordingly to be limited by nothing other than the appended claims, in which reference to an element in the singular is not intended to mean “one and only one” unless explicitly so stated, but rather “one or more.” Moreover, where a phrase similar to “at least one of A, B, or C” is used in the claims, it is intended that the phrase be interpreted to mean that A alone may be present in an embodiment, B alone may be present in an embodiment, C alone may be present in an embodiment, or that any combination of the elements A, B and C may be present in a single embodiment; for example, A and B, A and C, B and C, or A and B and C. Different cross-hatching is used throughout the figures to denote different parts but not necessarily to denote the same or different materials.

Systems, methods and apparatus are provided herein. In the detailed description herein, references to “one embodiment,” “an embodiment,” “various embodiments,” etc., indicate that the embodiment described may include a particular feature, structure, or characteristic, but every embodiment may not necessarily include the particular feature, structure, or characteristic. Moreover, such phrases are not necessarily referring to the same embodiment. Further, when a particular feature, structure, or characteristic is described in connection with an embodiment, it is submitted that it is within the knowledge of one skilled in the art to affect such feature, structure, or characteristic in connection with other embodiments whether or not explicitly described. After reading the description, it will be apparent to one skilled in the relevant art(s) how to implement the disclosure in alternative embodiments.

Numbers, percentages, or other values stated herein are intended to include that value, and also other values that are about or approximately equal to the stated value, as would be appreciated by one of ordinary skill in the art encompassed by various embodiments of the present disclosure. A stated value should therefore be interpreted broadly enough to encompass values that are at least close enough to the stated value to perform a desired function or achieve a desired result. The stated values include at least the variation to be expected in a suitable industrial process, and may include values that are within 10%, within 5%, within 1%, within 0.1%, or within 0.01% of a stated value. Additionally, the terms “substantially,” “about” or “approximately” as used herein represent an amount close to the stated amount that still performs a desired function or achieves a desired result. For example, the term “substantially,” “about” or “approximately” may refer to an amount that is within 10% of, within 5% of, within 1% of, within 0.1% of, and within 0.01% of a stated amount or value.

Furthermore, no element, component, or method step in the present disclosure is intended to be dedicated to the public regardless of whether the element, component, or method step is explicitly recited in the claims. No claim element herein is intended to invoke 35 U.S.C. 112(f) unless the element is expressly recited using the phrase “means for.” As used herein, the terms “comprises,” “comprising,” or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus.

Finally, it should be understood that any of the above described concepts can be used alone or in combination with any or all of the other above described concepts. Although various embodiments have been disclosed and described, one of ordinary skill in this art would recognize that certain modifications would come within the scope of this disclosure. Accordingly, the description is not intended to be exhaustive or to limit the principles described or illustrated herein to any precise form. Many modifications and variations are possible in light of the above teaching. 

What is claimed is:
 1. An additively manufactured noise attenuation panel for a structure within an aircraft structure, comprising: a plurality of unit cells; a plurality of disks; and a plurality of blended transitions; wherein the plurality of unit cells includes a first periodic structure having a first unit cell and a second unit cell; each of the first unit cell and the second unit cell includes a central body interconnected via a plurality of lateral tubes extending from the central body, the first periodic structure forming a first lateral layer of unit cells, and the central body comprising an interior surface defining a volume; wherein the plurality of disks includes a first disk disposed between a first volume of the first unit cell and a second volume of the second unit cell; the first disk meters a flow of a fluid between the first volume and the second volume; wherein the plurality of blended transitions includes a first blended transition located at an interface between the first disk and a first interior surface of the first unit cell.
 2. The noise attenuation panel of claim 1, wherein the blended transition comprises at least one of an interior chamfer or an interior fillet.
 3. The noise attenuation panel of claim 1, wherein the plurality of blended transitions further includes a second blended transition, the second blended transition is located at an interface between the first disk and a second interior surface of the second unit cell.
 4. The noise attenuation panel of claim 2, wherein a wall thickness of the first periodic structure increases along a first direction.
 5. The noise attenuation panel of claim 4, wherein the wall thickness of the first periodic structure at least one of: monotonically increases along the first direction from a first side of the first unit cell to a second side of the second unit cell; or linearly increases along the first direction.
 6. The noise attenuation panel of claim 4, wherein the wall thickness of the first periodic structure remains constant along a second direction, the second direction is perpendicular to the first direction.
 7. The noise attenuation panel of claim 4, wherein the first disk includes an orifice whereby the first volume is in fluidic communication with the second volume, wherein the first disk meters the flow of the fluid between the first volume and the second volume with the orifice.
 8. The noise attenuation panel of claim 1, wherein the first unit cell includes a first central body and a first axial tube disposed on the first central body and a second axial tube disposed on the first central body, opposite the first axial tube.
 9. The noise attenuation panel of claim 8, wherein the first unit cell includes a first lateral tube disposed on the first central body, and a second lateral tube, opposite the first lateral tube and disposed on the first central body.
 10. The noise attenuation panel of claim 9, wherein the first unit cell includes a third lateral tube, disposed on the first central body, and a fourth lateral tube, opposite the third lateral tube and disposed on the first central body.
 11. The noise attenuation panel of claim 1, wherein the first unit cell is rotated about a first axis with respect to the second unit cell.
 12. The noise attenuation panel of claim 11, wherein the first unit cell is rotated about a second axis with respect to the second unit cell, the first axis is perpendicular to the second axis.
 13. The noise attenuation panel of claim 1, wherein the plurality of unit cells includes a second periodic structure having a third unit cell and a fourth unit cell; wherein the first periodic structure is coupled to the second periodic structure via a plurality of axial tubes; the first periodic structure and the second periodic structure are bent around a central axis, the first periodic structure is located outward from the second periodic structure with respect to the central axis; and a wall thickness of the plurality of unit cells decreases along an axis extending perpendicular to the central axis such that a first wall thickness of the first periodic structure is greater than a second wall thickness of the second periodic structure.
 14. An additively manufactured noise attenuation panel for a structure within an aircraft structure, comprising: a first plurality of unit cells; and a second plurality of unit cells; wherein the first plurality of unit cells includes a first periodic structure having a first unit cell and a second unit cell; the second plurality of unit cells includes a second periodic structure having a third unit cell and a fourth unit cell; each of the first unit cell, the second unit cell, the third unit cell, and the fourth unit cell includes a central body interconnected via a plurality of tubes extending from the central body, and the central body comprising an interior surface defining a volume; the first periodic structure forming a first layer of unit cells; the second periodic structure forming a second layer of unit cells; a wall thickness of the first layer is greater than a wall thickness of the second layer.
 15. The noise attenuation panel of claim 14, wherein the first layer of unit cells and the second layer of unit cells are both curved around a central axis.
 16. The noise attenuation panel of claim 15, wherein the first layer is further away from the central axis than the second layer.
 17. The noise attenuation panel of claim 16, wherein the wall thickness of the first layer remains constant proceeding about the central axis.
 18. An additively manufactured noise attenuation panel for a structure within an aircraft structure, comprising: a first plurality of unit cells; and a second plurality of unit cells; wherein the first plurality of unit cells includes a first periodic structure having a first unit cell and a second unit cell; the second plurality of unit cells includes a second periodic structure having a third unit cell and a fourth unit cell; each of the first unit cell, the second unit cell, the third unit cell, and the fourth unit cell includes a central body interconnected via a plurality of tubes extending from the central body, and the central body comprising an interior surface defining a volume; the first periodic structure forming a first layer of unit cells; the second periodic structure forming a second layer of unit cells; wherein the first periodic structure is manufactured in a different orientation with respect to the second periodic structure.
 19. The noise attenuation panel of claim 17, wherein the first periodic structure comprises a first wall thickness and the second periodic structure comprises a second wall thickness, wherein the first wall thickness is different from the second wall thickness.
 20. The noise attenuation panel of claim 17, wherein the first plurality of unit cells comprises a planar face. 